Area spectrum of Kerr and extremal Kerr black holes from quasinormal modes

Modern Physics Letters A

Volumn 20, Issue 25, 2005, Pages 1923-1932

  Setare, Mohammad R ^a   Vagenas, Elias C ^b  

^a INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

Adiabatic invariants; Area spectrum; Kerr black hole; Quasinormal modes

Indexed keywords

EID: 22744453543     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732305016919     Document Type: Article

References (55)

1. S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).
2. J. D. Bekenstein, Lett. Nuovo Cimento 11, 467 (1974).
3. J. D. Bekenstein, Phys. Rev. D7, 2333 (1973).
4. J. D. Bekenstein, Quantum black holes as atoms, gr-qc/9710076.
5. S. Hod, Phys. Rev. Lett. 81, 4293 (1998).
6. K. D. Kokkotas and B. G. Schmidt, Liv. Rev. Rel. 2, 2 (1999).
7. H.-P. Nollert, Class. Quantum Grav. 16, R159 (1999).
8. J. D. Bekenstein and V. F. Mukhanov, Phys. Lett. B360, 7 (1995).
9. H. A. Kastrup, Phys. Lett. B385, 75 (1996).
10. J. D. Bekenstein, Black holes: Classical properties, thermodynamics and heuristic quantization, in Cosmology and Gravitation, ed. M. Novello (Atlantisciences, 2000), pp. 1-85.
11. A. Corichi, Phys. Rev. D67, 087502 (2003).
12. E. Abdalla, K. H. C. Castello-Branco and A. Lima-Santos, Mod. Phys. Lett. A18, 1435 (2003).
13. V. Cardoso and J. P. S. Lemos, Phys. Rev. D67, 084020 (2003).
14. A. P. Polychronakos, Phys. Rev. D69, 044010 (2004).
15. D. Birmingham, Phys. Lett. B569, 199 (2003).
16. T. Padmanabhan and A. Patel, Role of horizons in semiclassical gravity: Entropy and the area spectrum, gr-qc/0309053.
17. T. Padmanabhan, Class. Quantum Grav. 21, L1 (2004).
18. T. Roy Choudhury and T. Padmanabhan, Phys. Rev. D69, 064033 (2004).
19. S. Chandrasekhar, The Mathematical Theory of Black Holes (Oxford Univ. Press, 1983).
20. T. Regge and J. A. Wheeler, Phys. Rev. 108, 1063 (1957).
21. S. Chandrasekhar and S. Detweiler, Proc. R. Soc. London Ser. A344, 441 (1975).
22. G. T. Horowitz and V. E. Hubeny, Phys. Rev. D62, 024027 (2000).
23. V. Cardoso and J. P. S. Lemos, Phys. Rev. D63, 124015 (2001).
24. J. S. F. Chan and R. B. Mann, Phys. Rev. D55, 7546 (1997).
25. D. Birmingham, I. Sachs and S. N. Solodukhin, Phys. Rev. Lett. 88, 151301 (2002).
26. D. Birmingham, I. Sachs and S. N. Solodukhin, Phys. Rev. D67, 104026 (2003).
27. R. A. Konoplya, Phys. Rev. D66, 044009 (2002).
28. R. A. Konoplya, Phys. Rev. D66, 084007 (2002).
29. A. O. Starinets, Phys. Rev. D66, 124013 (2002).
30. V. Cardoso, R. A. Konoplya and J. P. S. Lemos, Phys. Rev. D68, 044024 (2003).
31. S. Fernando, Gen. Rel. Grav. 36, 71 (2004).
32. I. G. Moss and J. P. Norman, Class. Quantum Grav. 19, 2323 (2002).
33. D. Birmingham and S. Carlip, Phys. Rev. Lett. 92, 111302 (2004).
34. O. Dreyer, Phys. Rev. Lett. 90, 081301 (2003).
35. G. Kunstatter, Phys. Rev. Lett. 90, 161301 (2003).
36. Y. Ling and H. Zhang, Phys. Rev. D68, 101501 (2003).
37. R. A. Konoplya, Phys. Lett. B550, 117 (2002).
38. W. T. Kim and J. J. Oh, Phys. Lett. B514, 155 (2001).
39. M. R. Setare, Class. Quantum Grav. 21, 1453 (2004).
40. M. R. Setare, Phys. Rev. D69, 044016 (2004).
41. M. R. Setare, Near extremal Schwarzschild-de Sitter black hole area spectrum from quasi-normal modes, hep-th/0401063.
42. S. Hod, Phys. Rev. D67, 081501 (2003).
43. H. Onozawa, Phys. Rev. D55, 3593 (1997).
44. E. Berti and K. D. Kokkotas, Phys. Rev. D68, 044027 (2003).
45. E. Berti, V. Cardoso, K. D. Kokkotas and H. Onozawa, Phys. Rev. D68, 124018 (2003).
46. S. Hod, Asymptotic quasinormal mode spectrum of rotating black holes, gr-qc/0307060.
47. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, 1989), 2nd edn.
48. A. E. Mayo, Phys. Rev. D58, 104007 (1998).
49. J. Makela, P. Repo, M. Luomajoki and J. Piilonen, Phys. Rev. D64, 024018 (2001).
50. G. Gour and A. J. M. Medved, Class. Quantum Grav. 20, 2261 (2003).
51. E. Berti, V. Cardoso and S. Yoshida, Highly damped quasinormal modes of Kerr black holes: A complete numerical investigation, gr-qc/0401052.
52. A. J. M. Medved and D. Martin, A note on quasinormal modes: A tale of two treatments, gr-qc/0311086.
53. A. J. M. Medved, D. Martin and M. Visser, Class. Quantum Grav. 21, 2393 (2004).
54. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey and D. E. Knuth, Adv. Comput. Math. 5, 329 (1996).
55. R. M. Corless, D. J. Jeffrey and D. E. Knuth, A sequence of series for the Lambert W function, in ISSAC97, Proc. of the 1997 Int. Symp. on Symbolic and Algebraic Computation, ed. W. W. Kuechlin (ACM Press, 1997).