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The last decade has seen considerable interest in the quasi-normal frequencies [QNFs] of black holes (and even wormholes), both asymptotically flat and with cosmological horizons.
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S. Iyer and C. M. Will, “Black hole normal modes: A WKB approach. 1. Foundations and application of a higher order WKB analysis of potential barrier scattering,” Phys. Rev. D 35
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C. M. Will and J. W. Guinn, “Tuneling near the peaks of potential barriers: Consequences of higher-order Wentzel–Kramers–Brillouin corrections”. Phys. Rev. A 37
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J. W. Guinn, C. M. Will, Y. Kojima and B. F. Schutz, “High overtone normal modes of Schwarzschild black holes,” Class. Quant. Grav. 7
1990
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E. W. Leaver, “Quasinormal modes of Reissner-Nordstrom black holes,” Phys. Rev. D 41
1990
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N. Andersson, “A numerically accurate investigation of black hole normal modes”, Proc. Roy. Soc. Lond. A 439
1992
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J. S. F. Chan and R. B. Mann, “Scalar wave falloff in asymptotically anti-de Sitter backgrounds,” Phys. Rev. D 55
1997
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K. D. Kokkotas and B. G. Schmidt, “Quasi-normal modes of stars and black holes,” Living Rev. Rel. 2
1999
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H. P. Nollert, “Quasinormal modes: the characteristic ‘sound’ of black holes and neutron stars,” Class. Quant. Grav. 16
1999
Cited alongside, same era.
H. R. Beyer, “On the Completeness of the Quasinormal Modes of the Poeschl-Teller Potential,” Commun. Math. Phys. 204
1999
Cited alongside, same era.
J. S. F. Chan and R. B. Mann, “Scalar wave falloff in topological black hole backgrounds,” Phys. Rev. D 59
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. D 62
2000
Cited alongside, same era.
B. Wang, C. Y. Lin and E. Abdalla, “Quasinormal modes of Reissner-Nordström anti-de Sitter black holes,” Phys. Lett. B 481
2000
Cited alongside, same era.
V. Suneeta, “Quasinormal modes for the SdS black hole: An analytical approximation scheme,” Phys. Rev. D 68
2003
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J. Natario and R. Schiappa, “On the classification of asymptotic quasinormal frequencies for d d -dimensional black holes and quantum gravity,” Adv. Theor. Math. Phys. 8
2004
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A. J. M. Medved, D. Martin and M. Visser, “Dirty black holes: Quasinormal modes,” Class. Quant. Grav. 21
2004
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A. J. M. Medved, D. Martin and M. Visser, “Dirty black holes: Quasinormal modes for squeezed horizons,” Class. Quant. Grav. 21
2004
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T. Padmanabhan, “Quasi normal modes: A simple derivation of the level spacing of the frequencies,” Class. Quant. Grav. 21
2004
Later among the works it cites.
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B. Wang, C. Molina and E. Abdalla, “Evolving of a massless scalar field in Reissner-Nordström Anti-de Sitter spacetimes,” Phys. Rev. D 63
2001
Cited alongside, same era.
J. M. Zhu, B. Wang and E. Abdalla, “Object picture of quasinormal ringing on the background of small Schwarzschild anti-de Sitter black holes,” Phys. Rev. D 63
2001
Cited alongside, same era.
V. Cardoso and J. P. S. Lemos, “Quasi-normal modes of Schwarzschild anti-de Sitter black holes: Electromagnetic and gravitational perturbations,” Phys. Rev. D 64
2001
Cited alongside, same era.
B. Wang, E. Abdalla and R. B. Mann, “Scalar wave propagation in topological black hole backgrounds,” Phys. Rev. D 65
2002
Cited alongside, same era.
O. Dreyer, “Quasinormal modes, the area spectrum, and black hole entropy,” Phys. Rev. Lett. 90
2003
Cited alongside, same era.
R. A. Konoplya, “Quasinormal behavior of the d d -dimensional Schwarzschild black hole and higher order WKB approach,” Phys. Rev. D 68
2003
Cited alongside, same era.
L. Motl, “An analytical computation of asymptotic Schwarzschild quasinormal frequencies,” Adv. Theor. Math. Phys. 6
2003
Cited alongside, same era.
T. R. Choudhury and T. Padmanabhan, “Quasi normal modes in Schwarzschild-deSitter spacetime: A simple derivation of the level spacing of the frequencies,” Phys. Rev. D 69
2004
Later among the works it cites.
N. Andersson and C. J. Howls, “The asymptotic quasinormal mode spectrum of non-rotating black holes,” Class. Quant. Grav. 21
2004
Later among the works it cites.
D. P. Du, B. Wang and R. K. Su, “Quasinormal modes in pure de Sitter spacetimes,” Phys. Rev. D 70
2004
Later among the works it cites.
B. Wang, C. Y. Lin and C. Molina, “Quasinormal behavior of massless scalar field perturbation in Reissner-Nordstroem anti-de Sitter spacetimes,” Phys. Rev. D 70
2004
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S. Das and S. Shankaranarayanan, “High frequency quasi-normal modes for black-holes with generic singularities,” Class. Quant. Grav. 22
2005
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A. Ghosh, S. Shankaranarayanan and S. Das, “High frequency quasi-normal modes for black holes with generic singularities. II: Asymptotically non-flat spacetimes,” Class. Quant. Grav. 23
2006
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2009
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P. Boonserm, “Rigorous bounds on Transmission, Reflection, and Bogoliubov coefficients”, PhD Thesis, Victoria University of Wellington, 2009, arXiv: 0907.0045 [math-ph]. (See especially chapter 3 for a discussion of the convoluted history of the Eckart potential.)
2009
Later among the works it cites.