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We analytically determine the quasinormal mode (QNM) frequencies of a black hole with quadrupole moment in the eikonal limit using the light-ring method.
H. Weyl, “Zur Gravitationstheorie”, Ann. Phys. (Berlin) 359
1917
Earlier work this paper cites.
G. Erez and N. Rosen, “The gravitational field of a particle possessing a multipole moment”, Bull. Res. Council Israel F 8
1959
Earlier work this paper cites.
J. L. Synge, Relativity: The General Theory (North-Holland, Amsterdam, 1960)
1960
Earlier work this paper cites.
1964
Earlier work this paper cites.
D. M. Zipoy, “Topology of Some Spheroidal Metrics”, J. Math. Phys. (N.Y.) 7
1966
Earlier work this paper cites.
J. B. Hartle and K. S. Thorne, “Slowly Rotating Relativistic Stars. II. Models for Neutron Stars and Supermassive Stars”, Astrophys. J. 153
1968
Earlier work this paper cites.
B. H. Voorhees, “Static Axially Symmetric Gravitational Fields”, Phys. Rev. D 2
1970
Earlier work this paper cites.
R. H. Price, “Nonspherical perturbations of relativistic gravitational collapse. 1. Scalar and gravitational perturbations”, Phys. Rev. D 5
1972
Earlier work this paper cites.
J. B. Hartle, “Tidal shapes and shifts on rotating black holes”, Phys. Rev. D 9
1974
Earlier work this paper cites.
D. Papadopoulos, B. Stewart and L. Witten, “Some Properties of a Particular Static, Axially Symmetric Space-time,” Phys. Rev. D 24
1981
Earlier work this paper cites.
S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon, Oxford, UK, 1983)
1983
Earlier work this paper cites.
B. Mashhoon, “Quasi-Normal Modes of a Black Hole”, in Proceedings of the Third Marcel Grossmann Meeting on Recent Developments of General Relativity , edited by Hu Ning (North-Holland, New York, 1983), pp. 599-608
1983
Earlier work this paper cites.
C. Hoenselaers and W. Dietz, editors, Solutions of Einstein’s Equations: Techniques and Results (Springer, Berlin, 1984)
1984
Earlier work this paper cites.
H. J. Blome and B. Mashhoon, “Quasi-Normal Oscillations of a Schwarzschild Black Hole”, Phys. Lett. A 100
1984
Earlier work this paper cites.
V. Ferrari and B. Mashhoon, “Oscillations of a Black Hole”, Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
V. Ferrari and B. Mashhoon, “A New Approach to the Quasinormal Modes of a Black Hole”, Phys. Rev. D 30
1984
Earlier work this paper cites.
H. Quevedo and B. Mashhoon, “Exterior Gravitational Field of a Rotating Deformed Mass”, Phys. Lett. A 109
1985
Earlier work this paper cites.
B. Mashhoon, “Stability of Charged Rotating Black Holes in the Eikonal Approximation”, Phys. Rev. D 31
1985
Earlier work this paper cites.
H. Quevedo, “Class of Stationary Axisymmetric Solutions of Einstein’s Equations in Empty Space”, Phys. Rev. D 33
1986
Earlier work this paper cites.
H. Quevedo, “Static and Stationary Axisymmetric Solutions of Einstein’s Vacuum Field Equations with Multipole Moments” (in German), Ph. D. thesis, University of Cologne (Köln, Germany, 1987)
1987
Earlier work this paper cites.
H. Quevedo, “General static axisymmetric solution of Einstein’s vacuum field equations in prolate spheroidal coordinates”, Phys. Rev. D 39
1989
Cited alongside, same era.
H. Quevedo and B. Mashhoon, “Exterior Gravitational Field of a Charged Rotating Mass with Arbitrary Quadrupole Moment”, Phys. Lett. A 148
1990
Cited alongside, same era.
H. Quevedo, “Multipole Moments in General Relativity: Static and Stationary Vacuum Solutions”, Fortsch. Phys. (Germany) 38
1990
Cited alongside, same era.
H. Quevedo, “Comment on ‘New Exact Solution for the Exterior Gravitational Field of a Spinning Mass’ ”, Phys. Rev. Lett. 67
1991
Cited alongside, same era.
H. Quevedo and B. Mashhoon, “Generalization of Kerr spacetime”, Phys. Rev. D 43
1991
Cited alongside, same era.
2012
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2012
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2014
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S. Toktarbay and H. Quevedo, “A stationary q-metric,” Gravit. Cosmol. 20
2014
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B. Mashhoon and D. S. Theiss, “Relativistic Lunar Theory”, Nuovo Cimento B 106
1991
Cited alongside, same era.
H. Quevedo, “Generating Solutions of the Einstein-Maxwell Equations with Prescribed Physical Properties”, Phys. Rev. D 45
1992
Cited alongside, same era.
V. S. Manko and I. D. Novikov, “Generalizations of the Kerr and Kerr-Newman metrics possessing an arbitrary set of mass-multipole moments”, Classical Quantum Gravity 9
1992
Cited alongside, same era.
B. Mashhoon and H. Quevedo, “Relativistic Tidal Accelerations”, Nuovo Cimento B 110
1995
Cited alongside, same era.
H. Liu and B. Mashhoon, “On the Spectrum of Oscillations of a Schwarzschild Black Hole”, Classical Quantum Gravity 13
1996
Cited alongside, same era.
H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers and E. Herlt, Exact Solutions of Einstein’s Field Equations , 2nd ed. (Cambridge University Press, Cambridge, UK, 2003)
2003
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2008
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2016
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2016
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2016
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2016
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2017
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2017
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2017
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2017
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2018
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2018
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P. S. Joshi, The Story of Collapsing Stars : Black Holes, Naked Singularities, and the Cosmic Play of Quantum Gravity (Oxford University Press, Oxford, UK, 2018)
2018
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2018
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2018
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F. Frutos-Alfaro and M. Soffel, “On relativistic multipole moments of stationary space-times”, Royal Society Open Science 5
2018
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