Small Kerr–anti-de Sitter black holes are unstable

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 8, 2004, Pages

  Cardoso, Vitor ^a   Dias, Óscar J C ^b  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b UNIVERSITY OF ALGARVE   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BLACK HOLE; CALCULATION; COSMOLOGICAL PHENOMENA; ENERGY; GRAVITY; LIGHT SCATTERING; OSCILLATION; RADIATION; VELOCITY;

EID: 84927725113     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.084011     Document Type: Article

References (32)

1. T. Regge and J. A. Wheeler, Phys. Rev. 108, 1063 (1957).10.1103/PhysRev.108.1063
2. S. Detweiler, Phys. Rev. D 22, 2323 (1980); 10.1103/PhysRevD.22.2323
3. H. Furuhashi and Y. Nambu, gr-qc/0402037.
4. For a very good review on the subject as well as a careful explanation of various misinterpretations that have appeared over the years concerning the Klein paradox, we refer the reader to C. A. Manogue, Ann. Phys. (N.Y.) 181, 261 (1988).
5. W. Greiner, B. Müller, and J. Rafelski, Quantum Electrodynamics of Strong Fields (Springer-Verlag, Berlin, 1985).
6. Ya. B. Zel’dovich, Pis'ma Zh. Eksp. Teor. Fiz. 14, 270 (1971)
7. [JETP Lett. 14, 180 (1971)]
8. Zh. Eksp. Teor. Fiz. 62, 2076 (1972)
9. [Sov. Phys. JETP 35, 1085 (1972)].
10. J. M. Bardeen, W. H. Press, and S. A. Teukolsky, Astrophys. J. 178, 347 (1972).10.1086/151796
11. A. A. Starobinsky, Zh. Eksp. Teor. Fiz. 64, 48 (1973)
12. [Sov. Phys. JETP 37, 28 (1973)]
13. A. A. Starobinsky and S. M. Churilov, Zh. Eksp. Teor. Fiz. 65, 3 (1973)
14. [Sov. Phys. JETP 38, 1 (1973)].
15. W. H. Press and S. A. Teukolsky, Nature (London) 238, 211 (1972).
16. V. Cardoso, O. J. C. Dias, J. P. S. Lemos, and S. Yoshida, Phys. Rev. D 70, 044039 (2004).10.1103/PhysRevD.70.044039
17. S. W. Hawking and H. S. Reall, Phys. Rev. D 61, 024014 (1999).10.1103/PhysRevD.61.024014
18. B. Carter, Commun. Math. Phys. 10, 280 (1968).
19. D. R. Brill, P. L. Chrzanowski, C. M. Pereira, E. D. Fackerell, and J. R. Ipser, Phys. Rev. D 5, 1913 (1972); 10.1103/PhysRevD.5.1913
20. S. A. Teukolsky, Phys. Rev. Lett. 29, 1114 (1972).10.1103/PhysRevLett.29.1114
21. E. Seidel, Classical Quantum Gravity 6, 1057 (1989).10.1088/0264-9381/6/7/012
22. J. S. Avis, C. J. Isham, and D. Storey, Phys. Rev. D 18, 3565 (1978); 10.1103/PhysRevD.18.3565
23. P. Breitenlohner and D. Z. Freedman, Phys. Lett. 153B, 137 (1982); 10.1016/0370-2693(85)91415-7
24. I. G. Moss and J. P. Norman, Classical Quantum Gravity 19, 2323 (2002).10.1088/0264-9381/19/8/319
25. W. G. Unruh, Phys. Rev. D 14, 3251 (1976).10.1103/PhysRevD.14.3251
26. J. M. Maldacena and A. Strominger, Phys. Rev. D 56, 4975 (1997).10.1103/PhysRevD.56.4975
27. M. Abramowitz and A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1970).
28. V. Cardoso, R. Konoplya, and J. P. S. Lemos, Phys. Rev. D 68, 044024 (2003).10.1103/PhysRevD.68.044024
29. C. P. Burgess and C. A. Lutken, Phys. Lett. 153B, 137 (1985).10.1016/0370-2693(85)91415-7
30. G. T. Horowitz and V. Hubeny, Phys. Rev. D 62, 024027 (2000); 10.1103/PhysRevD.62.024027
31. V. Cardoso and J. P. S. Lemos, Phys. Rev. D 64, 084017 (2001); 10.1103/PhysRevD.64.084017
32. E. Berti and K. D. Kokkotas, Phys. Rev. D 67, 064020 (2003).10.1103/PhysRevD.67.064020