The uniqueness and stability of higher-dimensional black holes

Journal of the Korean Physical Society

Volumn 45, Issue SUPPL., 2004, Pages

  Kodama, Hideo ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Black hole; Higher dimensions; Perturbation theory; Stability; Uniqueness

Indexed keywords

EID: 10444271689     PISSN: 03744884     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper

References (65)

1. L. Randall and R. Sundrum, Nucl. Phys. B 557, 79 (1999).
2. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos, and G. Dvali, Phys. Lett. B, 436, 257 (1998).
3. P. T. Chruściel, Helv. Phys. Acta 69, 529 (1996).
4. M. Heusler, Black Hole Uniqueness Theorem (Cambridge Univ. Press, 1996); Living Reviews, 1, 6 (1998).
5. M. Heusler, Black Hole Uniqueness Theorem (Cambridge Univ. Press, 1996); Living Reviews, 1, 6 (1998).
6. S. Hawking and G. Ellis, The large scale structure of space-time (Cambridge Univ. Press, 1973).
7. P. T. Chruściel and R. M. Wald, Class. Quant. Grav. 11, L147 (1994).
8. I. Rácz and R. M. Wald, Class. Quant. Grav. 13, 539 (1996).
9. P. T. Chruściel, Class. Quant. Grav. 16, 689 (1999); ibid, 661 (1999).
10. P. T. Chruściel, Class. Quant. Grav. 16, 689 (1999); ibid, 661 (1999).
11. G. Weinstein, Trans. Amer. Math. Soc. 343, 899 (1994).
12. G. Weinstein, Comm. Partial Differential Equations 21, 1389 (1996).
13. G. W. Gibbons and K. Maeda, Nucl. Phys. B 298, 741 (1988).
14. A. Masood-ul-Alam, Class. Quant. Grav. 10, 2649 (1993).
15. M. Mars and W. Simon, Adv. Theor. Math. Phys. 6, 279 (2003).
16. G. W. Gibbons, D. Ida, and T. Shiromizu, Phys. Rev. D 66, 044010 (2002).
17. M. Rogatko, Phys. Rev. D 59, 104010 (1999).
18. M. Rogatko, Class. Quant. Grav. 19, L151 (2002).
19. M. Heusler, Class. Quant. Grav. 12, 2021 (1995).
20. R.. Bartnik and J. McKinnon, Phys. Rev. Lett. 61, 141 (1988).
21. M. S. Volkov and D. V. Galtsov, Sov. J. Nucl. Phys. 51, 1171 (1990).
22. H. P. Künzle and A. Masood-ul-Alam, J. Math. Phys. 31, 928 (1990).
23. N. Straumann and Z.-H. Zhou, Phys. Lett. B 237, 353 (1990).
24. P. Bizon, Phys. Lett. B 259, 53 (1991).
25. Z.-h. Zhou and N. Straumann, Nucl. Phys. B 360, 180 (1991).
26. S. Droz, M. Heusler, and N. Straumann, Phys. Lett. B 268, 371 (1991).
27. M. Heusler, S. Droz, and N. Straumann, Phys. Lett. B 271, 61 (1991); ibid. 285, 21 (1992).
28. M. Heusler, S. Droz, and N. Straumann, Phys. Lett. B 271, 61 (1991); ibid. 285, 21 (1992).
29. M. Heusler, N. Straumann, and Z.-H. Zhou, Helv. Phys. Acta 66, 614 (1993).
30. M. T. Anderson, math. DG/0105243 (2001).
31. M. T. Anderson, math. DG/0104171 (2001).
32. M. T. Anderson, P. T. Chrusciël, and E. Delay, JHEP 0210, 063 (2002).
33. R. M. Wald, gr-qc/9710068 (1997).
34. C. Vishveshwara, Phys. Rev. D 1, 2870 (1970).
35. R. Price, Phys. Rev. D 5, 2419 (1972).
36. R. M. Wald, J. Math. Phys. 20, 1056 (1979).
37. R. M. Wald, J. Math. Phys. 21, 218 (1980).
38. S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press, 1983).
39. H. Kodama and A. Ishibashi, Prog. Theor. Phys. 111, 29 (2004).
40. B. Whiting, J. Math. Phys. 30, 1301 (1989).
41. J. Bardeen, Phys. Rev. D 22, 1882 (1980).
42. H. Kodama, and M. Sasaki, Prog. Theor. Phys. Suppl. 78, 1 (1984).
43. H. Kodama, A. Ishibashi, and O. Seto, Phys. Rev. D 62, 064022 (2000).
44. G. W. Gibbons and S. A. Hartnoll, Phys. Rev. D 66, 064024 (2002).
45. T. Regge, and J. Wheeler, Phys. Rev. 108, 1063 (1957).
46. F. Zerilli, Phys. Rev. Lett. 24, 737 (1970).
47. H. Kodama, and A. Ishibashi, Prog. Theor. Phys. 110, 701 (2003).
48. V. Moncrief, Phys. Rev. D 9, 2707 (1974).
49. F. Zerilli, Phys. Rev. D 9, 860 (1974).
50. E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990).
51. V. Cardoso and J. P. S. Lemos, Phys. Rev. D 64, 084017 (2001).
52. S. Chandrasekhar and S. Detweiler, Proc. R. Soc. London A 344, 441 (1975).
53. B. Carter, Phys. Lett. A 26, 399 (1968).
54. F. R. Tangherlini, Nuovo Cimento 27, 636 (1963).
55. D. Birmingham, Class. Quantum Grav. 16, 1197 (1999).
56. S. Hwang, Geometriae Dedicata 71, 5 (1998).
57. G. W. Gibbons, D. Ida, and T. Shiromizu, Prog. Theor. Phys. Suppl. 148, 284 (2003).
58. G. W. Gibbons, D. Ida, and T. Shiromizu, Phys. Rev. Lett. 89, 041101 (2002).
59. M. Rogatko, Phys. Rev. D 67, 084025 (2003).
60. R. Myers and M. Perry, Ann. Phys. 172, 304 (1986).
61. H. Reall, Phys. Rev. D 68, 024024 (2003).
62. M. Cai and G. Galloway, Class. Quant. Grav. 18, 2707 (2001).
63. R. Emparan, and H. S. Reall, Phys. Rev. Lett. 88, 101101 (2001).
64. A. Ishibashi and H. Kodama, Prog. Theor. Phys. 110, 901 (2003).
65. H. Kodama, hep-th/0403239 (2004).