Asymptotic black hole quasinormal frequencies

Advances in Theoretical and Mathematical Physics

Volumn 7, Issue 2, 2003, Pages 307-329

  Motl, LuboŠ ^a   Neitzke, Andrew ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346830363     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2003.v7.n2.a4     Document Type: Article

References (35)

1. O. Dreyer, "Quasinormal modes, the area spectrum, and black hole entropy,".
2. C. Rovelli and P. Upadhya, "Loop quantum gravity and quanta of space: A primer,".
3. C. Rovelli, "Loop quantum gravity," Living Rev. Rel. 1, 1 (1998).
4. T. Thiemann, "Introduction to modern canonical quantum general relativity,".
5. C. Rovelli and L. Smolin, "Discreteness of area and volume in quantum gravity," Nucl. Phys. B 442, 593 (1995) [Erratum-ibid. B 456, 753 (1995)].
6. A. Ashtekar and J. Lewandowski, "Quantum theory of geometry. I: Area operators," Class. Quant. Grav. 14, A55 (1997) [arXiv:gr-qc/9602046].
7. J. F. Barbero G., "Real Ashtekar variables for Lorentzian signature space times," Phys. Rev. D 51, 5507 (1995).
8. G. Immirzi, "Quantum gravity and Regge calculus," Nucl. Phys. Proc. Suppl. 57, 65 (1997).
9. E.W. Leaver, "An analytic representation for the quasi-normal modes of Kerr black holes," Proc. R. Soc. A 402 (1985) 285.
10. H.-P. Nollert, "Quasinormal modes of Schwarzschild black holes: The determination of quasinormal frequencies with very large imaginary parts," Phys. Rev. D 47 (1993) 5253-5258, http://prd.aps.org/.
11. N. Andersson, "On the asymptotic distribution of quasinormal-mode frequencies for Schwarzschild black holes," Class. Quantum Grav. 10, L61-L67 (June 1993).
12. A. Bachelot, A. Motet-Bachelot, "The resonances of a Schwarzschild black hole. (in French)," Annales Poincare Phys. Theor. 59, 3 (1993).
13. S. Hod, "Bohr's correspondence principle and the area spectrum of quantum black holes," Phys. Rev. Lett. 81, 4293 (1998).
14. L.Motl, "An analytical computation of asymptotic Schwarzschild quasinormal frequencies,".
15. K. Glampedakis and N. Andersson, "Quick and dirty methods for studying black-hole resonances,".
16. T. Regge and J. A. Wheeler, "Stability of a Schwarzschild singularity," Phys. Rev. 108, 1063 (1957).
17. N. Andersson, K. D. Kokkotas and B. F. Schutz, "A new numerical approach to the oscillation modes of relativistic stars," Mon. Not. Roy. Astron. Soc. 274, 1039 (1995).
18. F. J. Zerilli, "Gravitational field of a particle falling in a Schwarzschild geometry analyzed in tensor harmonics," Phys. Rev. D 2, 2141 (1970).
19. H.-P. Nollert and B. G. Schmidt, "Quasinormal modes of Schwarzschild black holes: Defined and calculated via Laplace transformation," Phys. Rev. D 45 2617 (1992).
20. K. D. Kokkotas and B. G. Schmidt, "Quasi-normal modes of stars and black holes," Living Rev. Rel. 2, 2 (1999).
21. M. E. Araujo, D. Nicholson and B. F. Schutz, "On the Bohr-Sommerfeld formula for black hole normal modes," Class. Quant. Grav. 10 1127 (1993).
22. V. Cardoso, O. J. Dias and J. P. Lemos, "Gravitational radiation in d-dimensional spacetimes,".
23. G. Gibbons and S. A. Hartnoll, "A gravitational instability in higher dimensions," Phys. Rev. D 66, 064024 (2002).
24. G. Kunstatter, "d-dimensional black hole entropy spectrum from quasinormal modes,".
25. J. D. Bekenstein and V. F. Mukhanov, "Spectroscopy of the quantum black hole," Phys. Lett. B 360, 7 (1995).
26. E. Berti and K. D. Kokkotas, "Asymptotic quasinormal modes of Reissner-Nordstrom and Kerr black holes,".
27. A. Neitzke, "Greybody factors at large imaginary frequencies,".
28. V. Cardoso, L. Motl and A. Neitzke, work in progress.
29. E. Berti and K. D. Kokkotas, "Quasinormal modes of Reissner-Nordstrom-anti-de Sitter black holes: scalar, electromagnetic and gravitational perturbations,".
30. S. Musiri and G. Siopsis, "Quasinormal modes of large AdS black holes,".
31. V. Cardoso and J. P. Lemos, "Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole,".
32. G. T. Horowitz and V. E. Hubeny, "Quasinormal modes of AdS black holes and the approach to thermal equilibrium," Phys. Rev. D 62, 024027 (2000).
33. D. Birmingham, I. Sachs and S. N. Solodukhin, "Relaxation in conformal field theory, Hawking-Page transition, and quasinormal/normal modes,".
34. A. Maassen van den Brink, "WKB analysis of the Regge-Wheeler equation down in the frequency plane,".
35. A. Corichi, "On quasinormal modes, black hole entropy, and quantum geometry,".