Scalar-gravitational perturbations and quasinormal modes in the five dimensional Schwarzschild black hole

Journal of High Energy Physics

Volumn 7, Issue 12, 2003, Pages 957-970

  Cardoso, Vitor ^a   Lemos, José P S ^a   Yoshida, Shijun ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

Black Holes; Classical Theories of Gravity

Indexed keywords

EID: 23044451382     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2003/12/041     Document Type: Article

References (51)

1. C.V. Vishveshwara, Nature 227 (1970) 936.
2. K.D. Kokkotas and B.G. Schmidt, Quasinormal modes of stars and black holes, Living Rev. Relativity 2 (1999) 2 [gr-qc/9909058].
3. H.P. Nollert, Class. and Quant. Grav. 16 (1999) R159.
4. J. Bekenstein, The quantum mass spectrum of the Kerr black hole, Lett. Nuovo Cim. 11 (1974) 467;
5. J.D. Bekenstein and V.F. Mukhanov, Spectroscopy of the quantum black hole, Phys. Lett. B 360 (1995) 7 [gr-qc/9505012];
6. S. Hod, Bohr's correspondence principle and the area spectrum of quantum black holes, Phys. Rev. Lett. 81 (1998) 4293 [gr-qc/9812002];
7. O. Dreyer, Quasinormal modes, the area spectrum and black hole entropy, Phys. Rev. Lett. 90 (2003) 081301 [gr-qc/0211076];
8. J. Oppenheim, The spectrum of quantum black holes and quasinormal modes, gr-qc/0307089;
9. A. Corichi, On quasinormal modes, black hole entropy and quantum geometry, Phys. Rev. D 67 (2003) 087502 [gr-qc/0212126];
10. Y. Ling and H.-b. Zhang, Quasinormal modes prefer supersymmetry?, Phys. Rev. D 68 (2003) 101501 [gr-qc/0309018].
11. V. Cardoso, J.P.S. Lemos and S. Yoshida, Quasinormal modes of Schwarzschild black holes in four and higher dimensions, gr-qc/0309112.
12. V. Cardoso and J.P.S. Lemos, Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole, Phys. Rev. D 67 (2003) 084020 [gr-qc/0301078];
13. C. Molina, Quasinormal modes of d-dimensional spherical black holes with near extreme cosmological constant, Phys. Rev. D 68 (2003) 064007 [gr-qc/0304053];
14. A. Maassen van den Brink, Approach to the extremal limit of the Schwarzschild-de Sitter black hole, Phys. Rev. D 68 (2003) 047501 [gr-qc/0304092];
15. V. Cardoso, R. Konoplya and J.P.S. Lemos, Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: a complete study on the asymptotic behavior, Phys. Rev. D 68 (2003) 044024 [gr-qc/0305037];
16. E. Berti, K.D. Kokkotas and E. Papantonopoulos, Gravitational stability of five-dimensional rotating black holes projected on the brane, Phys. Rev. D 68 (2003) 064020 [gr-qc/0306106];
17. E. Berti, V. Cardoso, K.D. Kokkotas and H. Onozawa, Highly damped quasinormal modes of Kerr black holes, hep-th/0307013;
18. E. Berti and K.D. Kokkotas, Asymptotic quasinormal modes of Reissner-Nordstroem and Kerr black holes, Phys. Rev. D 68 (2003) 044027 [hep-th/0303029];
19. D. Birmingham, S. Carlip and Y.-j. Chen, Quasinormal modes and black hole quantum mechanics in 2+1 dimensions, Class. and Quant. Grav. 20 (2003) L239 [hep-th/0305113];
20. D. Birmingham, Nucl. Phys. B 671 (2003) 67;
21. N. Andersson and C.J. Howls, The asymptotic quasinormal mode spectrum of non-rotating black holes, gr-qc/0307020;
22. S. Yoshida and T. Futamase, Numerical analysis of quasinormal modes in nearly extremal Schwarzschild-de Sitter spacetimes, gr-qc/0308077;
23. S. Musiri and G. Siopsis, Asymptotic form of quasi-normal modes of large AdS black holes, Phys. Lett. B 576 (2003) 309 [hep-th/0308196];
24. Perturbative calculation of quasi-normal modes of Schwarzschild black holes, Class. and Quant. Grav. 20 (2003) L285 [hep-th/0308168];
25. On quasi-normal modes of Kerr black holes, hep-th/0309227;
26. D. Birmingham and S. Carlip, Non-quasinormal modes and black hole physics, hep-th/0311090;
27. K.H.C. Castello-Branco and E. Abdalla, Analytic determination of the asymptotic quasi-normal mode spectrum of Schwarzschild-de Sitter black holes, gr-qc/0309090;
28. A.J.M. Medved, D. Martin and M. Visser, Dirty black holes: quasinormal modes, gr-qc/0310009;
29. Dirty black holes: quasinormal modes for squeezed horizons, gr-qc/0310097;
30. T.R. Choudhury and T. Padmanabhan, Quasi normal modes in Schwarzschild-desitter spacetime: a simple derivation of the level spacing of the frequencies, gr-qc/0311064;
31. T. Padmanabhan, Gravity and the thermodynamics of horizons, gr-qc/0311036;
32. M.R. Setare, Non-rotating BTZ black hole area spectrum from quasi-normal modes, hep-th/0311221.
33. N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315];
34. Phenomenology, astrophysics and cosmology of theories with sub-millimeter dimensions and TeV scale quantum gravity, Phys. Rev. D 59 (1999) 086004 [hep-ph/9807344];
35. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G.R. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398].
36. V. Cardoso, O.J.C. Dias and J.P.S. Lemos, Gravitational radiation in d-dimensional spacetimes, Phys. Rev. D 67 (2003) 064026 [hep-th/0212168].
37. D. Ida, Y. Uchida and Y. Morisawa, The scalar perturbation of the higher-dimensional rotating black holes, Phys. Rev. D 67 (2003) 084019 [gr-qc/0212035].
38. R.A. Konoplya, Quasinormal behavior of the d-dimensional schwarzshild black hole and higher order WKB approach, Phys. Rev. D 68 (2003) 024018 [gr-qc/0303052].
39. L. Motl and A. Neitzke, Asymptotic black hole quasinormal frequencies, Adv. Theor. Math. Phys. 7 (2003) 307 [hep-th/0301173].
40. H. Kodama and A. Ishibashi, A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions, Prog. Theor. Phys. 110 (2003) 701 [hep-th/0305147].
41. R.A. Konoplya, Gravitational quasinormal radiation of higher-dimensional black holes, hep-th/0309030.
42. E. Berti, M. Cavaglià and L. Gualtieri, Gravitational energy loss in high energy particle collisions: ultrarelativistic plunge into a multidimensional black hole, hep-th/0309203.
43. D. Birmingham, Asymptotic quasinormal frequencies of d-dimensional Schwarzschild black holes, Phys. Lett. B 569 (2003) 199 [hep-th/0306004].
44. T. Regge and J.A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108 (1957) 1063.
45. F.J. Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations, Phys. Rev. Lett. 24 (1970) 737.
46. H.-P. Nollert, Phys. Rev. D 47 (1993) 5253.
47. E.W. Leaver, An analytic representation for the quasi normal modes of Kerr black holes, Proc. R. Soc. London A402 (1985) 285
48. E.W. Leaver, Phys. Rev. D 41 (1990) 2986.
49. W. Gautschi, SIAM Rev. 9 (1967) 24.
50. H. Kodama and A. Ishibashi, Stability of higher dimensional Schwarzschild black holes, hep-th/0305185.
51. S. Chandrasekhar, The mathematical theory of black holes, Clarendon Press, Oxford 1983.