2009

Quasinormal modes of black holes and black branes

Berti, Emanuele, Cardoso, Vitor, Starinets, Andrei O.

Understand

Quasinormal modes are eigenmodes of dissipative systems.

Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes.
The analysis and classification of the quasinormal spectra requires solving non-Hermitian eigenvalue problems for the associated linear differential equations.
Within the recently developed gauge-gravity duality, these modes serve as an important tool for determining the near-equilibrium properties of strongly coupled quantum field theories, in particular their transport coefficients, such as viscosity, conductivity and diffusion constants.

Built on

Phys. Rev. D77
E. E. Flanagan and T. Hinderer, · 1915
Earlier work this paper cites.
Z. Phys. 83
Pöschl, G. and Teller, E., · 1933
Earlier work this paper cites.
Eur. Phys. J. C58
Y. S. Myung, Y.-W. Kim and Y.-J. Park, · 1933
Earlier work this paper cites.
Publ. Astron. Soc. Jap. 59
Y. Suwa, T. Takiwaki, K. Kotake and K. Sato, · 1945
Earlier work this paper cites.
Sci. Rep. Tohoku Univ. 34
H. Narai, · 1950
Earlier work this paper cites.
Rep. Tohoku Univ. 35
H. Narai, · 1951
Earlier work this paper cites.
Methods of Theoretical Physics
P. M. Morse and H. Feshbach, · 1953
Earlier work this paper cites.
Phys. Rev. 108
T. Regge and J. A. Wheeler, · 1957
Earlier work this paper cites.
Rev. Mod. Phys. 29
D. R. Brill and J. A. Wheeler, · 1957
Earlier work this paper cites.
J. Math. Phys. 3
E. Newman and R. Penrose, · 1962
Earlier work this paper cites.
J. Soc. Ind. Appl. Math. 10
J. Mathews, · 1962
Earlier work this paper cites.
Phys. Rev. Lett. 11
R. P. Kerr, · 1963
Earlier work this paper cites.
Nature 197
M. Schmidt, · 1963
Earlier work this paper cites.
Phys. Rev. 131
P. C. Peters and J. Mathews, · 1963
Earlier work this paper cites.
Phys. Rev. D77
Y. Pan et al · 1964
Earlier work this paper cites.
JWKB Approximation: Contributions to the Theory
N. Froeman and P. O. Froeman, · 1965
Earlier work this paper cites.
Am. Math. Mon. 73
M. Kac, · 1966
Earlier work this paper cites.
J. Math. Phys. 8
J. N. Goldberg, A. J. Macfarlane, E. T. Newman, F. Rohrlich and E. C. G. Sudarshan, · 1967
Earlier work this paper cites.
Commun. Math. Phys. 10
B. Carter, · 1968
Earlier work this paper cites.
0704.1968
L. A. Gergely and P. L. Biermann, · 1968
Earlier work this paper cites.
The Physics Teacher 7
J. A. Wheeler, · 1969
Earlier work this paper cites.
Nature 227
C. V. Vishveshwara, · 1970
Earlier work this paper cites.
Phys. Rev. Lett. 24
F. J. Zerilli, · 1970
Earlier work this paper cites.
Phys. Rev. D2
F. J. Zerilli, · 1970
Earlier work this paper cites.
Phys. Rev. D1
C. V. Vishveshwara, · 1970
Earlier work this paper cites.
Phys. Rev. D1
L. A. Edelstein and C. V. Vishveshwara, · 1970
Earlier work this paper cites.
Phys. Rev. Lett. 27
M. Davis, R. Ruffini, W. H. Press and R. H. Price, · 1971
Earlier work this paper cites.
Physics Today 24
R. Ruffini and J. A. Wheeler, · 1971
Earlier work this paper cites.
Astrophys. J. L170
W. H. Press, · 1971
Earlier work this paper cites.
Nature 240
C. T. Bolton, · 1972
Earlier work this paper cites.
Astrophys. J. L172
C. J. Goebel, · 1972
Earlier work this paper cites.
Phys. Rev. Lett. 29
S. A. Teukolsky, · 1972
Earlier work this paper cites.
Phys. Rev. D5
D. R. Brill, P. L. Chrzanowski, C. Martin Pereira, E. D. Fackerell and J. R. Ipser, · 1972
Earlier work this paper cites.
Astrophys. J. 178
J. M. Bardeen, W. H. Press and S. A. Teukolsky, · 1972
Earlier work this paper cites.
Phys. Rev. D5
R. H. Price, · 1972
Earlier work this paper cites.
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
M. Abramowitz and I. A. Stegun, · 1972
Earlier work this paper cites.
Nature 238
W. H. Press and S. A. Teukolsky, · 1972
Earlier work this paper cites.
Black Holes: les Astres Occlus
R. Ruffini, · 1973
Earlier work this paper cites.
Astrophys. J. 185
S. A. Teukolsky, · 1973
Earlier work this paper cites.
Phys. Rev. D7
J. D. Bekenstein, · 1973
Earlier work this paper cites.
Journal of Mathematics and Physics 14
R. M. Wald, · 1973
Earlier work this paper cites.
Ann. Phys. 88
V. Moncrief, · 1974
Earlier work this paper cites.
Phys. Rev. Lett. 32
J. Rhoades, Clifford E. and R. Ruffini, · 1974
Earlier work this paper cites.
Lett. Nuovo Cim. 11
J. D. Bekenstein, · 1974
Earlier work this paper cites.
Astrophys. J. 191
D. N. Page and K. S. Thorne, · 1974
Earlier work this paper cites.
0904.1975
C. P. Herzog, · 1975
Earlier work this paper cites.
Royal Society of London Proceedings Series A 344
S. Chandrasekhar and S. Detweiler, · 1975
Earlier work this paper cites.
Proc. R. Soc. Lond. A343
S. Chandrasekhar, · 1975
Earlier work this paper cites.
Gravitational perturbation theory and synchrotron radiation
R. A. Breuer, editor, · 1975
Earlier work this paper cites.
Phys. Rev. D11
P. L. Chrzanowski, · 1975
Earlier work this paper cites.
Commun. Math. Phys. 44
G. W. Gibbons, · 1975
Earlier work this paper cites.
Phys. Rev. D13
D. N. Page, · 1976
Earlier work this paper cites.
Phys. Rev. D14
W. G. Unruh, · 1976
Earlier work this paper cites.
Phys. Rev. D14
D. N. Page, · 1976
Earlier work this paper cites.
Mon. Not. Roy. Astron. Soc. 179
R. D. Blandford and R. L. Znajek, · 1977
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A353
P. C. W. Davies, · 1977
Earlier work this paper cites.
Astrophys. J. 224
C. T. Cunningham, R. H. Price and V. Moncrief, · 1978
Earlier work this paper cites.
Phys. Rev. Lett. 41
R. M. Wald, · 1978
Earlier work this paper cites.
Advanced Mathematical Methods for Scientists and Engineers
C. M. Bender and S. A. Orszag, · 1978
Earlier work this paper cites.
Cambridge, United Kingdom: Univ.Pr.(1979) 919p
S. W. Hawking and W. Israel, · 1979
Earlier work this paper cites.
Astrophys. J. 230
C. T. Cunningham, R. H. Price and V. Moncrief, · 1979
Earlier work this paper cites.
Phys. Rev. D19
U. H. Gerlach and U. K. Sengupta, · 1979
Earlier work this paper cites.
Phys. Rev. D19
L. S. Kegeles and J. M. Cohen, · 1979
Earlier work this paper cites.
Rev. Mod. Phys. 52
K. S. Thorne, · 1980
Earlier work this paper cites.
Astrophys. J. 236
C. T. Cunningham, R. H. Price and V. Moncrief, · 1980
Earlier work this paper cites.
Phys. Rev. D22
U. H. Gerlach and U. K. Sengupta, · 1980
Earlier work this paper cites.
Phil. Trans. Roy. Soc. Lond. A296
D. L. Gunter, · 1980
Earlier work this paper cites.
Astrophys. J. 239
S. Detweiler, · 1980
Earlier work this paper cites.
J. Math. Phys. 21
R. M. Wald, · 1980
Earlier work this paper cites.
Nature 287
M. C. Begelman, R. D. Blandford and M. J. Rees, · 1980
Earlier work this paper cites.
Astrophys. J. 235
P. A. Connors, R. F. Stark and T. Piran, · 1980
Earlier work this paper cites.
Prog. Theor. Phys. 65
T. Nakamura, · 1981
Earlier work this paper cites.
Phys. Rev. Lett. 46
W. G. Unruh, · 1981
Earlier work this paper cites.
Ann. Phys. 140
S. Deser, R. Jackiw and S. Templeton, · 1982
Earlier work this paper cites.
Phys. Rev. Lett. 48
S. Deser, R. Jackiw and S. Templeton, · 1982
Earlier work this paper cites.
Mon. Not. Roy. Astron. Soc. 200
A. Soltan, · 1982
Earlier work this paper cites.
The Mathematical Theory of Black Holes
S. Chandrasekhar, · 1983
Earlier work this paper cites.
Phys. Rev. D28
J. York, James W., · 1983
Earlier work this paper cites.
in Proceedings of the Third Marcel Grossmann Meeting on Recent Developments of General Relativity
B. Mashhoon, · 1983
Earlier work this paper cites.
Commun. Math. Phys. 87
S. W. Hawking and D. N. Page, · 1983
Earlier work this paper cites.
Phys. Rev. D30
V. Ferrari and B. Mashhoon, · 1984
Earlier work this paper cites.
Proc. R. Soc. Lond. A392
S. Chandrasekhar, · 1984
Earlier work this paper cites.
General Relativity
R. M. Wald, · 1984
Earlier work this paper cites.
Phys. Rev. Lett. 55
R. F. Stark and T. Piran, · 1985
Earlier work this paper cites.
Phys. Rev. D31
B. Mashhoon, · 1985
Earlier work this paper cites.
Astrophys. J. L291
B. F. Schutz and C. M. Will, · 1985
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A402
E. W. Leaver, · 1985
Earlier work this paper cites.
Phys. Lett. B153
C. P. Burgess and C. A. Lutken, · 1985
Earlier work this paper cites.
Phys. Rev. Lett. 55
D. G. Boulware and S. Deser, · 1985
Earlier work this paper cites.
J. Math. Phys. 27
E. W. Leaver, · 1986
Earlier work this paper cites.
Phys. Rev. D34
E. W. Leaver, · 1986
Earlier work this paper cites.
Astrophys. J. 308
J. E. McClintock and R. A. Remillard, · 1986
Earlier work this paper cites.
Phys. Rev. D33
B. P. Jensen and P. Candelas, · 1986
Earlier work this paper cites.
Nucl. Phys. B268
J. T. Wheeler, · 1986
Earlier work this paper cites.
Nucl. Phys. B273
J. T. Wheeler, · 1986
Earlier work this paper cites.
Prog. Theor. Phys. Suppl. 90
T. Nakamura, K. Oohara and Y. Kojima, · 1987
Earlier work this paper cites.
Phys. Rev. D35
S. Iyer and C. M. Will, · 1987
Earlier work this paper cites.
Phys. Rev. D35
S. Iyer, · 1987
Earlier work this paper cites.
300 Years of Gravitation S.W. Hawking and W. Israel (Editors)
K. Thorne, · 1987
Earlier work this paper cites.
Phys. Rev. D35
E. Seidel and T. Moore, · 1987
Earlier work this paper cites.
Phys. Rev. D38
Y. Sun and R. H. Price, · 1988
Earlier work this paper cites.
Singapore, Singapore: World Scientific (1988) 152p
J. D. Brown, · 1988
Earlier work this paper cites.
Phys. Rev. D37
K. D. Kokkotas and B. F. Schutz, · 1988
Earlier work this paper cites.
Phys. Rev. D38
E. Seidel, E. S. Myra and T. Moore, · 1988
Earlier work this paper cites.
Phys. Rev. D40
F. Echeverria, · 1989
Earlier work this paper cites.
J. Math. Phys. 30
G. F. Torres del Castillo, · 1989
Earlier work this paper cites.
Proc. R. Soc. London A424
J. M. Stewart, · 1989
Earlier work this paper cites.
Class. Quant. Grav. 6
B. R. Iyer, S. Iyer and C. V. Vishveshwara, · 1989
Earlier work this paper cites.
Class. Quant. Grav. 6
P. C. W. Davies, · 1989
Earlier work this paper cites.
Phys. Rev. D41
F. Mellor and I. Moss, · 1990
Earlier work this paper cites.
Phys. Rev. D41
E. W. Leaver, · 1990
Earlier work this paper cites.
Phys. Rev. D42
E. Seidel, · 1990
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A434
S. Chandrasekhar and V. Ferrari, · 1991
Earlier work this paper cites.
Phys. Rev. D44
E. Seidel, · 1991
Earlier work this paper cites.
Astrophys. J. 380
E. S. Phinney, · 1991
Earlier work this paper cites.
Phys. Rev. D46
L. S. Finn, · 1992
Earlier work this paper cites.
Phys. Rev. D45
H.-P. Nollert and B. G. Schmidt, · 1992
Earlier work this paper cites.
Phys. Rev. D45
N. Froeman, P. O. Froeman, N. Andersson and A. Hoekback, · 1992
Earlier work this paper cites.
Phys. Rev. Lett. 69
M. Banados, C. Teitelboim and J. Zanelli, · 1992
Earlier work this paper cites.
Proc. Roy. Soc. Lond. A437
S. Chandrasekhar and V. Ferrari, · 1992
Earlier work this paper cites.
Astrophys. J. 400
L. Bildsten and C. Cutler, · 1992
Earlier work this paper cites.
Phys. Rev. Lett. 71
P. Anninos, D. Hobill, E. Seidel, L. Smarr and W.-M. Suen, · 1993
Earlier work this paper cites.
Annales Poincare Phys. Theor. 59
A. Bachelot and A. Motet-Bachelot, · 1993
Earlier work this paper cites.
Phys. Rev. D 47
H.-P. Nollert, · 1993
Earlier work this paper cites.
Phys. Rev. D47
H.-P. Nollert, · 1993
Earlier work this paper cites.
Royal Society of London Proceedings Series A 442
N. Andersson, · 1993
Earlier work this paper cites.
Nuovo Cim. B108
K. D. Kokkotas, · 1993
Earlier work this paper cites.
Phys. Rev. Lett. 70
R. Gregory and R. Laflamme, · 1993
Earlier work this paper cites.
Nucl. Phys. B428
R. Gregory and R. Laflamme, · 1994
Earlier work this paper cites.
Class. Quant. Grav. 11
C. M. Chambers and I. G. Moss, · 1994
Earlier work this paper cites.
Phys. Rev. D49
C. Cutler and E. E. Flanagan, · 1994
Earlier work this paper cites.
Class. Quant. Grav. 11
N. Andersson, · 1994
Earlier work this paper cites.
Phys. Rev. D52
E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, · 1995
Earlier work this paper cites.
Phys. Rev. Lett. 74
E. S. C. Ching, P. T. Leung, W. M. Suen and K. Young, · 1995
Earlier work this paper cites.
Class. Quant. Grav. 12
J. P. S. Lemos, · 1995
Earlier work this paper cites.
Phys. Lett. B353
J. P. S. Lemos, · 1995
Earlier work this paper cites.
Phys. Rev. D51
N. Andersson, · 1995
Earlier work this paper cites.
Nucl. Phys. B447
I. Ichinose and Y. Satoh, · 1995
Earlier work this paper cites.
Mathematical Methods for Physicists
G. B. Arfken and H. J. Weber, · 1995
Earlier work this paper cites.
Phys. Rev. Lett. 75
J. Polchinski, · 1995
Earlier work this paper cites.
J. Math. Phys. 36
L. Susskind, · 1995
Earlier work this paper cites.
Ann. Rev. Astron. Astrophys. 33
J. Kormendy and D. Richstone, · 1995
Earlier work this paper cites.
Phys. Rev. D52
T. A. Apostolatos, · 1995
Earlier work this paper cites.
Phys. Rev. D52
F. D. Ryan, · 1995
Earlier work this paper cites.
Phys. Lett. B360
J. D. Bekenstein and V. F. Mukhanov, · 1995
Earlier work this paper cites.
Phys. Rept. 251
F. Cooper, A. Khare and U. Sukhatme, · 1995
Earlier work this paper cites.
Nature 375
Y. Tanaka et al · 1995
Earlier work this paper cites.
Class. Quant. Grav. 13
R. J. Gleiser, C. O. Nicasio, R. H. Price and J. Pullin, · 1996
Earlier work this paper cites.
Phys. Rev. Lett. 77
R. J. Gleiser, C. O. Nicasio, R. H. Price and J. Pullin, · 1996
Earlier work this paper cites.
Phys. Rev. D54
J. P. S. Lemos and V. T. Zanchin, · 1996
Earlier work this paper cites.
Angular momentum in quantum mechanics
A. R. Edmonds, · 1996
Earlier work this paper cites.
Phys. Rev. D53
H. Onozawa, T. Mishima, T. Okamura and H. Ishihara, · 1996
Earlier work this paper cites.
Phys. Rev. D54
N. Andersson and H. Onozawa, · 1996
Earlier work this paper cites.
Phys. Rev. D54
P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis and E. Winstanley, · 1996
Earlier work this paper cites.
Phys. Rev. D53
B. J. Owen, · 1996
Earlier work this paper cites.
Prog. Theor. Phys. Suppl. 128
Y. Mino, M. Sasaki, M. Shibata, H. Tagoshi and T. Tanaka, · 1997
Earlier work this paper cites.
Class. Quant. Grav. 14
R. B. Mann, · 1997
Earlier work this paper cites.
Phys. Rev. D56
L. Vanzo, · 1997
Earlier work this paper cites.
Phys. Rev. D55
N. Andersson, · 1997
Earlier work this paper cites.
Math. Res. Lett. 4
A. S. Barreto and M. Zworski, · 1997
Earlier work this paper cites.
Phys. Rev. D55
H. Onozawa, · 1997
Earlier work this paper cites.
Phys. Rev. D55
H. Onozawa, T. Okamura, T. Mishima and H. Ishihara, · 1997
Earlier work this paper cites.
Phys. Rev. D56
T. Okamura, · 1997
Earlier work this paper cites.
Phys. Rev. D55
J. S. F. Chan and R. B. Mann, · 1997
Earlier work this paper cites.
Phys. Rev. D55
T. Torii, H. Yajima and K.-i. Maeda, · 1997
Earlier work this paper cites.
Phys. Rev. D55
S. O. Alexeev and M. V. Pomazanov, · 1997
Earlier work this paper cites.
Phys. Rev. Lett. 78
P. T. Leung, Y. T. Liu, W. M. Suen, C. Y. Tam and K. Young, · 1997
Earlier work this paper cites.
Phys. Rev. D55
C. O. Lousto and R. H. Price, · 1997
Earlier work this paper cites.
Astrophys. J. 482
S. N. Zhang, W. Cui and W. Chen, · 1997
Earlier work this paper cites.
Phys. Rev. D56
F. D. Ryan, · 1997
Earlier work this paper cites.
Astrophys. J. 477
K. Nandra, I. M. George, R. F. Mushotzky, T. J. Turner and T. Yaqoob, · 1997
Earlier work this paper cites.
Rev. Mod. Phys. 70
E. S. C. Ching et al · 1998
Earlier work this paper cites.
Adv. Theor. Math. Phys. 2
J. M. Maldacena, · 1998
Earlier work this paper cites.
Phys. Rev. Lett. 81
S. Hod, · 1998
Earlier work this paper cites.
Black hole physics: Basic concepts and new developments
V. P. Frolov and I. D. Novikov, · 1998
Earlier work this paper cites.
Living Rev. Rel. 1
M. Heusler, · 1998
Earlier work this paper cites.
New York, USA: Norton (1998) 380 p
J. A. Wheeler and K. Ford, · 1998
Earlier work this paper cites.
Phys. Lett. B428
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, · 1998
Earlier work this paper cites.
Adv. Theor. Math. Phys. 2
E. Witten, · 1998
Earlier work this paper cites.
Phys. Rev. D57
E. E. Flanagan and S. A. Hughes, · 1998
Earlier work this paper cites.
Phys. Rev. D57
R. Kallosh, J. Rahmfeld and W. K. Wong, · 1998
Earlier work this paper cites.
Adv. Theor. Math. Phys. 2
E. Witten, · 1998
Earlier work this paper cites.
Phys. Rev. D57
P. Kanti, N. E. Mavromatos, J. Rizos, K. Tamvakis and E. Winstanley, · 1998
Earlier work this paper cites.
Phys. Lett. B429
N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, · 1998
Earlier work this paper cites.
Phys. Lett. B436
I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. R. Dvali, · 1998
Earlier work this paper cites.
Phys. Lett. B441
P. C. Argyres, S. Dimopoulos and J. March-Russell, · 1998
Earlier work this paper cites.
Phys. Rev. Lett. 81
S. M. Carroll, · 1998
Earlier work this paper cites.
Astron. J. 115
E. Magorrian et al · 1998
Earlier work this paper cites.
Astrophys. J. 494
E. Maoz, · 1998
Earlier work this paper cites.
Class. Quant. Grav. 15
M. Visser, · 1998
Earlier work this paper cites.
Phys. Rev. D58
M. Parikh and F. Wilczek, · 1998
Earlier work this paper cites.
J. Math. Phys. 40
H.-P. Nollert and R. H. Price, · 1999
Earlier work this paper cites.
Living Rev. Rel. 2
K. D. Kokkotas and B. G. Schmidt, · 1999
Earlier work this paper cites.
Class. Quant. Grav. 16
H.-P. Nollert, · 1999
Earlier work this paper cites.
Phys. Rev. D60
J. D. E. Creighton, · 1999
Earlier work this paper cites.
Class. Quant. Grav. 16
D. Birmingham, · 1999
Earlier work this paper cites.
Phys. Rev. D60
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, · 1999
Earlier work this paper cites.
Phys. Rev. D59
J. S. F. Chan and R. B. Mann, · 1999
Earlier work this paper cites.
Mod. Phys. Lett. A14
S. Kalyana Rama and B. Sathiapalan, · 1999
Earlier work this paper cites.
Nucl. Phys. B563
U. H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, · 1999
Earlier work this paper cites.
Phys. Rev. D60
P. R. Brady, C. M. Chambers, W. G. Laarakkers and E. Poisson, · 1999
Earlier work this paper cites.
Phys. Rev. Lett. 83
L. Randall and R. Sundrum, · 1999
Earlier work this paper cites.
Phys. Rev. Lett. 83
L. Randall and R. Sundrum, · 1999
Earlier work this paper cites.
Phys. Rev. D59
P. T. Leung, Y. T. Liu, W. M. Suen, C. Y. Tam and K. Young, · 1999
Earlier work this paper cites.
Phys. Rev. Lett. 82
I. Zlatev, L.-M. Wang and P. J. Steinhardt, · 1999
Earlier work this paper cites.
Phys. Rev. D60
M. Shibata, · 1999
Earlier work this paper cites.
Nature 400
J. R. Herrnstein et al · 1999
Earlier work this paper cites.
Mon. Not. Roy. Astron. Soc. 305
A. R. King and U. Kolb, · 1999
Earlier work this paper cites.

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V. Cardoso, O. J. C. Dias and S. Yoshida, · 2006
Later among the works it cites.
Int. J. Mod. Phys. D15
Y. Zhang and J.-L. Jing, · 2006
Later among the works it cites.
Phys. Rev. D73
P. Kanti and R. A. Konoplya, · 2006
Later among the works it cites.
Phys. Rev. D74
P. Kanti, R. A. Konoplya and A. Zhidenko, · 2006
Later among the works it cites.
Class. Quant. Grav. 23
Y. Zhang and Y. X. Gui, · 2006
Later among the works it cites.
Phys. Rev. D73
K. Maeda, M. Natsuume and T. Okamura, · 2006
Later among the works it cites.
Phys. Rev. D74
R. A. Janik and R. B. Peschanski, · 2006
Later among the works it cites.
AIP Conf. Proc. 873
E. Berti, V. Cardoso and C. M. Will, · 2006
Later among the works it cites.
Int. J. Mod. Phys. D15
E. Berti and V. Cardoso, · 2006
Later among the works it cites.
Ann. Rev. Astron. Astrophys. 44
R. A. Remillard and J. E. McClintock, · 2006
Later among the works it cites.
Class. Quant. Grav. 23
LIGO Scientific, L. M. Goggin, · 2006
Later among the works it cites.
Phys. Rev. D74
E. N. Dorband, E. Berti, P. Diener, E. Schnetter and M. Tiglio, · 2006
Later among the works it cites.
Rept. Prog. Phys. 69
K. Kotake, K. Sato and K. Takahashi, · 2006
Later among the works it cites.
Phys. Rev. D73
M. Shibata and K. Taniguchi, · 2006
Later among the works it cites.
Phys. Rev. D74
M. Shibata and K. Uryu, · 2006
Later among the works it cites.
Class. Quant. Grav. 23
M. Luna and A. M. Sintes, · 2006
Later among the works it cites.
Astrophys. J. 646
J. M. Fregeau, S. L. Larson, M. C. Miller, R. W. O’Shaughnessy and F. A. Rasio, · 2006
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. Lett. 367
M. Coleman Miller, · 2006
Later among the works it cites.
Astrophys. J. Suppl. 163
P. F. Hopkins et al · 2006
Later among the works it cites.
Class. Quant. Grav. 23
E. Berti, · 2006
Later among the works it cites.
Astrophys. J. 639
S. M. Koushiappas and A. R. Zentner, · 2006
Later among the works it cites.
Astrophys. J. 646
C. Rodriguez et al · 2006
Later among the works it cites.
Astrophys. J. 645
T. Ohkubo et al · 2006
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. 370
M. C. Begelman, M. Volonteri and M. J. Rees, · 2006
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. Lett. 373
A. R. King and J. E. Pringle, · 2006
Later among the works it cites.
Astrophys. J. 652
L. W. Brenneman and C. S. Reynolds, · 2006
Later among the works it cites.
Astrophys. J. 647
S. W. Davis, C. Done and O. M. Blaes, · 2006
Later among the works it cites.
Astrophys. J. 636
R. Shafee et al · 2006
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. 373
M. Middleton, C. Done, M. Gierlinski and S. Davis, · 2006
Later among the works it cites.
Astrophys. J. 652
J. E. McClintock et al · 2006
Later among the works it cites.
Astrophys. J. 642
J.-M. Wang, Y.-M. Chen, L. C. Ho and R. J. McLure, · 2006
Later among the works it cites.
Astrophys. J. 637
R. M. O’Leary, F. A. Rasio, J. M. Fregeau, N. Ivanova and R. O’Shaughnessy, · 2006
Later among the works it cites.
Phys. Rev. D73
T. Damour and A. Gopakumar, · 2006
Later among the works it cites.
Phys. Rev. D74
D. Brizuela, J. M. Martin-Garcia and G. A. Mena Marugan, · 2006
Later among the works it cites.
Chin. Phys. Lett. 23
S.-B. Chen and J.-L. Jing, · 2006
Later among the works it cites.
Mod. Phys. Lett. A21
J. Saavedra, · 2006
Later among the works it cites.
Class. Quant. Grav. 23
M. Cadoni and P. Pani, · 2006
Later among the works it cites.
Class. Quant. Grav. 23
R. J. Gleiser and G. Dotti, · 2006
Later among the works it cites.
Phys. Rev. D74
V. Cardoso and M. Cavaglia, · 2006
Later among the works it cites.
Astrophys. J. Suppl. 164
S. W. Davis and I. Hubeny, · 2006
Later among the works it cites.
Astron. Nachr. 88
K. Nandra, P. M. O’Neill, I. M. George, J. N. Reeves and T. J. Turner, · 2006
Later among the works it cites.
Astron. Nachr. 88
J. N. Reeves et al · 2006
Later among the works it cites.
Ann. Rev. Nucl. Part. Sci. 57
D. T. Son and A. O. Starinets, · 2007
Later among the works it cites.
Phys. Rev. D76
E. Berti, J. Cardoso, V. Cardoso and M. Cavaglia, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
P. Amaro-Seoane et al · 2007
Later among the works it cites.
Phys. Rev. D76
E. Berti et al · 2007
Later among the works it cites.
Phys. Rev. D76
T. Damour and A. Nagar, · 2007
Later among the works it cites.
Gen. Rel. Grav. 39
A. Lopez-Ortega, · 2007
Later among the works it cites.
Phys. Lett. B650
S. Musiri and G. Siopsis, · 2007
Later among the works it cites.
Int. J. Theor. Phys. 46
J. F. Chang and Y. G. Shen, · 2007
Later among the works it cites.
Phys. Rev. D76
U. Keshet and S. Hod, · 2007
Later among the works it cites.
Acta Phys. Polon. B38
A. Rostworowski, · 2007
Later among the works it cites.
Nucl. Phys. B777
R. A. Konoplya and A. Zhidenko, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
R. G. Daghigh, G. Kunstatter and J. Ziprick, · 2007
Later among the works it cites.
Phys. Rev. D76
R. A. Konoplya and A. Zhidenko, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
F. Moura and R. Schiappa, · 2007
Later among the works it cites.
Gen. Rel. Grav. 39
S. K. Chakrabarti, · 2007
Later among the works it cites.
Phys. Rev. D76
U. A. al Binni and G. Siopsis, · 2007
Later among the works it cites.
Phys. Lett. B647
S. Chen, B. Wang and R.-K. Su, · 2007
Later among the works it cites.
Gen. Rel. Grav. 39
Y. Zhang, Y. X. Gui and F. Li, · 2007
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. 379
J. R. Hurley, · 2007
Later among the works it cites.
Phys. Rev. D75
A. Buonanno, G. B. Cook and F. Pretorius, · 2007
Later among the works it cites.
Phys. Rev. D75
A. Nagar, O. Zanotti, J. A. Font and L. Rezzolla, · 2007
Later among the works it cites.
Phys. Rept. 442
H.-T. Janka, K. Langanke, A. Marek, G. Martinez-Pinedo and B. Mueller, · 2007
Later among the works it cites.
Phys. Rev. D75
H. Sotani, S. Yoshida and K. D. Kokkotas, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
L. Baiotti, I. Hawke and L. Rezzolla, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
M. Shibata and K. Uryu, · 2007
Later among the works it cites.
Phys. Rev. D75
N. Seto, · 2007
Later among the works it cites.
Phys. Rev. D76
A. Buonanno et al · 2007
Later among the works it cites.
Phys. Rev. D75
E. Berti, V. Cardoso, J. A. Gonzalez and U. Sperhake, · 2007
Later among the works it cites.
Phys. Rev. D76
B. Vaishnav, I. Hinder, F. Herrmann and D. Shoemaker, · 2007
Later among the works it cites.
Astrophys. J. 681
I. Mandel, D. A. Brown, J. R. Gair and M. C. Miller, · 2007
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. 377
A. Sesana, M. Volonteri and F. Haardt, · 2007
Later among the works it cites.
Phys. Rev. Lett. 99
D. A. Brown et al · 2007
Later among the works it cites.
Astrophys. J. 662
K. Belczynski, V. Kalogera, F. A. Rasio, R. E. Taam and T. Bulik, · 2007
Later among the works it cites.
Phys. Rev. D76
R. O’Leary, R. O’Shaughnessy and F. Rasio, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
C. B. M. H. Chirenti and L. Rezzolla, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
P. Ajith et al · 2007
Later among the works it cites.
Astrophys. J. 662
J. D. Schnittman and A. Buonanno, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
T. Harmark, V. Niarchos and N. A. Obers, · 2007
Later among the works it cites.
Phys. Lett. B649
X.-P. Rao, B. Wang and G.-H. Yang, · 2007
Later among the works it cites.
Phys. Rev. D75
S. Hod, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
S. Hod, · 2007
Later among the works it cites.
Phys. Rev. D76
K. Ioka and H. Nakano, · 2007
Later among the works it cites.
Phys. Rev. D76
H. Nakano and K. Ioka, · 2007
Later among the works it cites.
Phys. Rev. D76
D. Brizuela, J. M. Martin-Garcia and G. A. M. Marugan, · 2007
Later among the works it cites.
Int. J. Mod. Phys. D16
P. Xi and X.-Z. Li, · 2007
Later among the works it cites.
Phys. Rev. D76
S. Okuzumi and M.-a. Sakagami, · 2007
Later among the works it cites.
Class. Quant. Grav. 24
E. Abdalla, R. A. Konoplya and A. Zhidenko, · 2007
Later among the works it cites.
Phys. Rev. D75
C. Barcelo, A. Cano, L. J. Garay and G. Jannes, · 2007
Later among the works it cites.
JCAP 0706
T. K. Das, N. Bilic and S. Dasgupta, · 2007
Later among the works it cites.
Phys. Lett. B644
G. Dotti, R. Gleiser and J. Pullin, · 2007
Later among the works it cites.
Phys. Rev. Lett. 98
J. A. Gonzalez, U. Sperhake, B. Bruegmann, M. Hannam and S. Husa, · 2007
Later among the works it cites.
Astrophys. J. 659
M. Campanelli, C. O. Lousto, Y. Zlochower and D. Merritt, · 2007
Later among the works it cites.
Phys. Rev. Lett. 98
M. Campanelli, C. O. Lousto, Y. Zlochower and D. Merritt, · 2007
Later among the works it cites.
Astrophys. J. 659
M. J. Valtonen et al · 2007
Later among the works it cites.
Ann. Rev. Astron. Astrophys. 45
J. M. Miller, · 2007
Later among the works it cites.
Gen. Rel. Grav. 40
V. Ferrari and L. Gualtieri, · 2008
Later among the works it cites.
Living Rev. Rel. 11
R. Emparan and H. S. Reall, · 2008
Later among the works it cites.
Phys. Rev. Lett. 101
U. Sperhake, V. Cardoso, F. Pretorius, E. Berti and J. A. Gonzalez, · 2008
Later among the works it cites.
Phys. Rev. D78
L. Baiotti, B. Giacomazzo and L. Rezzolla, · 2008
Later among the works it cites.
JHEP , 133 (2008), [0805.2570]
I. Amado, C. Hoyos-Badajoz, K. Landsteiner and S. Montero, · 2008
Later among the works it cites.
Phys. Rev. D77
I. Amado, C. Hoyos-Badajoz, K. Landsteiner and S. Montero, · 2008
Later among the works it cites.
Phys. Rev. D78
U. Keshet and A. Neitzke, · 2008
Later among the works it cites.
Phys. Rev. D77
H.-c. Kao and D. Tomino, · 2008
Later among the works it cites.
Phys. Rev. D78
S. Hod, · 2008
Later among the works it cites.
Phys. Rev. D77
H. Ishihara et al · 2008
Later among the works it cites.
Class. Quant. Grav. 25
K. Murata and J. Soda, · 2008
Later among the works it cites.
Phys. Rev. Lett. 101
K. Skenderis and B. C. van Rees, · 2008
Later among the works it cites.
Phys. Rev. D77
M. Natsuume and T. Okamura, · 2008
Later among the works it cites.
Prog. Theor. Phys. 120
M. Natsuume and T. Okamura, · 2008
Later among the works it cites.
Prog. Theor. Phys. Suppl. 172
H. Kodama, · 2008
Later among the works it cites.
Prog. Theor. Phys. 120
Z.-K. Guo, N. Ohta and T. Torii, · 2008
Later among the works it cites.
Phys. Rev. D77
R. A. Konoplya and A. Zhidenko, · 2008
Later among the works it cites.
Phys. Rev. D78
M. Nozawa and T. Kobayashi, · 2008
Later among the works it cites.
Central Eur. J. Phys. 6
C. Ma, Y. Gui, W. Wang and F. Wang, · 2008
Later among the works it cites.
Nucl. Phys. B803
A. Buchel, · 2008
Later among the works it cites.
Prog. Theor. Phys. 120
X.-H. Ge, Y. Matsuo, F.-W. Shu, S.-J. Sin and T. Tsukioka, · 2008
Later among the works it cites.
Phys. Rev. D77
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, · 2008
Later among the works it cites.
Phys. Rev. Lett. 100
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, · 2008
Later among the works it cites.
Phys. Lett. B669
A. Buchel, R. C. Myers, M. F. Paulos and A. Sinha, · 2008
Later among the works it cites.
Phys. Rev. D77
J. Erdmenger, M. Kaminski and F. Rust, · 2008
Later among the works it cites.
Phys. Rev. D78
N. Evans and E. Threlfall, · 2008
Later among the works it cites.
Phys. Rev. D77
N. Evans and E. Threlfall, · 2008
Later among the works it cites.
Class. Quant. Grav. 25
E. Berti, V. Cardoso, J. A. Gonzalez, U. Sperhake and B. Bruegmann, · 2008
Later among the works it cites.
Astrophys. J. 684
E. Berti and M. Volonteri, · 2008
Later among the works it cites.
Phys. Rev. Lett. 100
M. Anderson et al · 2008
Later among the works it cites.
Phys. Rev. D78
Y. T. Liu, S. L. Shapiro, Z. B. Etienne and K. Taniguchi, · 2008
Later among the works it cites.
Phys. Rev. D77
M. Shibata and K. Taniguchi, · 2008
Later among the works it cites.
Phys. Rev. D77
Z. B. Etienne et al · 2008
Later among the works it cites.
Phys. Rev. D78
M. D. Duez et al · 2008
Later among the works it cites.
Class. Quant. Grav. 25
J. Kanner et al · 2008
Later among the works it cites.
Phys. Rev. D78
J. G. Baker et al · 2008
Later among the works it cites.
Phys. Rev. D78
U. Sperhake et al · 2008
Later among the works it cites.
Phys. Rev. D77
I. Hinder, B. Vaishnav, F. Herrmann, D. Shoemaker and P. Laguna, · 2008
Later among the works it cites.
Class. Quant. Grav. 25
D. Shoemaker, B. Vaishnav, I. Hinder and F. Herrmann, · 2008
Later among the works it cites.
Phys. Rev. D77
A. Buonanno, L. E. Kidder and L. Lehner, · 2008
Later among the works it cites.
Phys. Rev. D78
L. Rezzolla et al · 2008
Later among the works it cites.
Class. Quant. Grav. 25
V. Cardoso, P. Pani, M. Cadoni and M. Cavaglia, · 2008
Later among the works it cites.
Nature 452
M. J. Valtonen et al · 2008
Later among the works it cites.
Astrophys. J. 679
J. Liu, J. McClintock, R. Narayan, S. Davis and J. Orosz, · 2008
Later among the works it cites.
Astrophys. J. 679
J. M. Miller et al · 2008
Later among the works it cites.
Phys. Rev. D77
P. Ajith et al · 2008
Later among the works it cites.
Astrophys. J. 675
R. K. Kopparapu et al · 2008
Later among the works it cites.
Astrophys. J. 672
R. O’Shaughnessy, C. Kim, V. Kalogera and K. Belczynski, · 2008
Later among the works it cites.
Phys. Rev. D77
C. Li and G. Lovelace, · 2008
Later among the works it cites.
Phys. Rev. D78
S. Dain, C. O. Lousto and Y. Zlochower, · 2008
Later among the works it cites.
Phys. Rev. D77
J. D. Schnittman et al · 2008
Later among the works it cites.
Phys. Rev. Lett. 100
M. Maggiore, · 2008
Later among the works it cites.
Class. Quant. Grav. 25
A. J. M. Medved, · 2008
Later among the works it cites.
Phys. Lett. B663
Y. S. Myung, · 2008
Later among the works it cites.
Phys. Rev. D77
E. Berti and V. Cardoso, · 2008
Later among the works it cites.
Phys. Lett. B666
S. Hod, · 2008
Later among the works it cites.
Phys. Rev. D77
S. Okuzumi, K. Ioka and M. Sakagami, · 2008
Later among the works it cites.
Class. Quant. Grav. 25
G. Dotti, R. J. Gleiser, I. F. Ranea-Sandoval and H. Vucetich, · 2008
Later among the works it cites.
Astrophys. J. 678
S. Komossa, H. Zhou and H. Lu, · 2008
Later among the works it cites.
AIP Conf. Proc. 968
R. Narayan, J. E. McClintock and R. Shafee, · 2008
Later among the works it cites.
Mon. Not. Roy. Astron. Soc. 387
R. C. Reis et al · 2008
Later among the works it cites.
Living Rev. Rel. 12
B. S. Sathyaprakash and B. F. Schutz, · 2009
Closest in time.
Living Rev. Rel. (2009)
E. Berti and M. Campanelli, · 2009
Closest in time.
Phys. Lett. B670
A. O. Starinets, · 2009
Closest in time.
Phys. Rev. D79
N. Iqbal and H. Liu, · 2009
Closest in time.
Class. Quant. Grav. 26
I. Bakas, · 2009
Closest in time.
Phys. Rev. D79
Y. Decanini and A. Folacci, · 2009
Closest in time.
Phys. Rev. D79
V. Cardoso, A. S. Miranda, E. Berti, H. Witek and V. T. Zanchin, · 2009
Closest in time.
Phys. Rev. D79
H. Kodama, R. A. Konoplya and A. Zhidenko, · 2009
Closest in time.
Phys. Lett. B673
C. T. Asplund and D. Berenstein, · 2009
Closest in time.
Phys. Rev. D79
A. N. Aliev and O. Delice, · 2009
Closest in time.
Prog. Theor. Phys. 121
Z.-K. Guo, N. Ohta and T. Torii, · 2009
Closest in time.
Chin. Phys. Lett. 26
Y. Zhang, Y.-X. Gui and F. Yu, · 2009
Closest in time.
Phys. Rev. D79
R. C. Myers, M. F. Paulos and A. Sinha, · 2009
Closest in time.
Nucl. Phys. B813
M. Haack and A. Yarom, · 2009
Closest in time.
Phys. Rev. D79
R.-G. Cai, Z.-Y. Nie, N. Ohta and Y.-W. Sun, · 2009
Closest in time.
Phys. Rev. D79
M. Shibata, K. Kyutoku, T. Yamamoto and K. Taniguchi, · 2009
Closest in time.
Class. Quant. Grav. 26
C. D. Ott, · 2009
Closest in time.
Class. Quant. Grav. 26
L. Rezzolla, · 2009
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Astrophys. J. 696
R. A. Daly, · 2009
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Astrophys. J. 690
F. Shankar, D. H. Weinberg and J. Miralda-Escude, · 2009
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Astrophys. J. 691
R. A. Daly, · 2009
Closest in time.
Astrophys. J. 692
M. C. Miller and V. M. Lauburg, · 2009
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Astrophys. J. 696
T. Tanaka and Z. Haiman, · 2009
Closest in time.
Class. Quant. Grav. 26
G. Koutsoumbas, E. Papantonopoulos and G. Siopsis, · 2009
Closest in time.
Phys. Rev. D79
S. R. Dolan, E. S. Oliveira and L. C. B. Crispino, · 2009
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Astrophys. J. 695
T. M. Heckman, J. H. Krolik, S. M. Moran, J. Schnittman and S. Gezari, · 2009
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Astrophys. J. 699
J. M. Wrobel and A. Laor, · 2009
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The Astronomer’s Telegram 1955
R. R. Chornock et al · 2009
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Astrophys. J. 691
A. Rafiee and P. B. Hall, · 2009
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Phys. Rev. D78
R. A. Konoplya and A. Zhidenko, · 2048
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