Fetching the paper…
Reading the bibliography…
We consider the problem of quasinormal modes (QNM) for strongly hyperbolic systems on stationary, asymptotically anti-de Sitter black holes, with very general boundary conditions at infinity.
1907
Earlier work this paper cites.
American Mathematical Society, New York, 1948
E. Hille, Functional Analysis and Semi-groups · 1948
Earlier work this paper cites.
1958
Earlier work this paper cites.
E. Hille, “On Laplace integrals,” in Einar Hille: Classical Analysis and Functional Analysis, Selected Papers Ed. R. R. Kallman, MIT Press, 1975
1975
Earlier work this paper cites.
G. B. Roberts, “Uniqueness in the Cauchy problem for characteristic operators of Fuchsian type,” J. Differential Equations
1980
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Stability in Gauged Extended Supergravity,” Annals Phys
1982
Earlier work this paper cites.
University of Chicago Press, Chicago, 1984
R. M. Wald, General Relativity · 1984
Earlier work this paper cites.
R. R. Mazzeo and R. B. Melrose, “Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature,” Journal of Functional Analysis
1987
Earlier work this paper cites.
A. Bachelot, “Gravitational scattering of electromagnetic field by Schwarzschild black-hole.,” Annales de L’Institut Henri Poincare Section Physique Theorique
1991
Earlier work this paper cites.
A. Bachelot and A. Motet-Bachelot, “Les résonances d’un trou noir de Schwarzschild.,” Ann. Inst. Henri Poincaré, Phys. Théor., Vol. 59, No. 1, p. 3 - 68
1993
Earlier work this paper cites.
Texts in Applied Mathematics Series. Springer-Verl, 1993
M. Renardy and R. Rogers, An Introduction to Partial Differential Equations · 1993
Earlier work this paper cites.
J.-P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” Journal of Computational Physics
1994
Earlier work this paper cites.
J. Chan and R. B. Mann, “Scalar wave falloff in asymptotically anti-de Sitter backgrounds,” Phys.Rev
1997
Earlier work this paper cites.
A. S. Barreto and M. Zworski, “Distribution of resonances for spherical black holes,” Mathematical Research Letters
1997
Earlier work this paper cites.
No. 19 in Graduate Studies in Mathematics. American Mathematical Society, Providence RI, 1998
L. C. Evans, Partial Differential Equations · 1998
Earlier work this paper cites.
K. D. Kokkotas and B. G. Schmidt, “Quasinormal modes of stars and black holes,” Living Rev.Rel
1999
Cited alongside, same era.
J. Chan and R. B. Mann, “Scalar wave falloff in topological black hole backgrounds,” Phys.Rev
1999
Cited alongside, same era.
H. R. Beyer, “On the completeness of the quasinormal modes of the Poschl-Teller potential,” Commun.Math.Phys
1999
Cited alongside, same era.
G. T. Horowitz and V. E. Hubeny, “Quasinormal modes of AdS black holes and the approach to thermal equilibrium,” Phys.Rev
2000
Cited alongside, same era.
V. Cardoso and J. P. Lemos, “Quasinormal modes of toroidal, cylindrical and planar black holes in anti-de Sitter space-times,” Class.Quant.Grav
2001
Cited alongside, same era.
2008
Later among the works it cites.
2009
Later among the works it cites.
G. Gibbons and C. Warnick, “Universal properties of the near-horizon optical geometry,” Phys.Rev
2009
Later among the works it cites.
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
V. Cardoso and J. P. Lemos, “Quasinormal modes of Schwarzschild anti-de Sitter black holes: Electromagnetic and gravitational perturbations,” Phys.Rev
2001
Cited alongside, same era.
V. Cardoso and J. P. Lemos, “Scalar, electromagnetic and Weyl perturbations of BTZ black holes: Quasinormal modes,” Phys.Rev
2001
Cited alongside, same era.
V. Cardoso, J. Natario, and R. Schiappa, “Asymptotic quasinormal frequencies for black holes in nonasymptotically flat space-times,” J.Math.Phys
2004
Cited alongside, same era.
J. Natario and R. Schiappa, “On the classification of asymptotic quasinormal frequencies for d-dimensional black holes and quantum gravity,” Adv.Theor.Math.Phys
2004
Cited alongside, same era.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys.Rev
2005
Cited alongside, same era.
C. Guillarmou, “Meromorphic properties of the resolvent on asymptotically hyperbolic manifolds,” Duke Math. J
2005
Cited alongside, same era.
M. Dafermos, “The Black Hole Stability problem” . Talk given at the Newton Institute, Cambridge (2006)
2006
Cited alongside, same era.
2010
Later among the works it cites.
G. Holzegel, “On the massive wave equation on slowly rotating Kerr-AdS spacetimes,” Commun.Math.Phys
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
2011
Later among the works it cites.
S. Dyatlov, “Exponential energy decay for Kerr-de Sitter black holes beyond event horizons,” Math.Res.Lett
2011
Later among the works it cites.
J. Wunsch and M. Zworski, “Resolvent estimates for normally hyperbolic trapped sets,” Annales Henri Poincaré
2011
Later among the works it cites.
2012
Later among the works it cites.