Topology and uniqueness of higher dimensional black holes

Progress of Theoretical Physics Supplement

Volumn , Issue 189, 2011, Pages 52-92

  Ida, Daisuke ^a   Ishibashi, Akihiro ^b,c   Shiromizu, Tetsuya ^d  

^a GAKUSHUIN UNIVERSITY   (Japan)

^b INSTITUTE OF PARTICLE AND NUCLEAR STUDIES   (Japan)

^c KINKI UNIVERSITY   (Japan)

^d KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 83755220555     PISSN: 03759687     EISSN: 13474081     Source Type: Journal    
DOI: 10.1143/ptps.189.52     Document Type: Review

References (102)

1. S. W. Hawking, Commun. Math. Phys. 25 (1972), 152.
2. R. M. Wald, Living Rev. Rel. 4 (2001), 6.
3. R. Emparan and H. S. Reall, Phys. Rev. Lett. 88 (2002), 101101.
4. J. D. Bekenstein, Phys. Rev. D 7 (1973), 2333.
5. S. W. Hawking, Phys. Rev. Lett. 26 (1971), 1344.
6. J. M. Bardeen, B. Carter and S. W. Hawking, Commun. Math. Phys. 31 (1973), 161.
7. S. W. Hawking and G. F. R. Ellis, The large scale structure of space-time (Cambridge University Press, Cambridge, 1973).
8. R. M. Wald, General Relativity (University of Chicago Press, Chicago, 1984).
9. J. L. Friedman, K. Schleich and D. M. Witt, Phys. Rev. Lett. 71 (1993), 1486.
10. S. Hollands and A. Ishibashi, J. Math. Phys. 46 (2005), 022503.
11. S. Hollands and R. M. Wald, Class. Quant. Grav. 21 (2004), 5139.
12. K. Tanabe, N. Tanahashi and T. Shiromizu, J. Math. Phys. 51 (2010), 062502.
13. S. W. Hawking, "The event horizon", in Black Holes, Les Houches Lectures, ed. C. DeWitt and B. S. DeWitt (North Holland, 1972).
14. G. J. Galloway, gr-qc/0608118.
15. C. Helfgott, Y. Oz and Y. Yanay, J. High Energy Phys. 02 (2006), 025.
16. G. J. Galloway and R. Schoen, Commun. Math. Phys. 266 (2006), 571.
17. G. W. Gibbons, Class. Quant. Grav. 16 (1999), 1677.
18. E. Woolgar, Class. Quant. Grav. 16 (1999), 3005.
19. M. Cai and G. J. Galloway, Class. Quant. Grav. 18 (2001), 2707.
20. G. J. Galloway and N. O'Murchadha, Class. Quant. Grav. 25 (2008), 105009.
21. I. Racz, Class. Quant. Grav. 25 (2008), 162001.
22. M. Siino, Phys. Rev. D 58 (1998), 104016.
23. D. Ida, Prog. Theor. Phys. 122 (2010), 987.
24. D. Ida and M. Siino, Prog. Theor. Phys. 118 (2007), 715.
25. H. Ishihara and K. Matsuno, Prog. Theor. Phys. 116 (2006), 417.
26. D. Kastor and J. H. Traschen, Phys. Rev. D 47 (1993), 5370.
27. P. T. Chrúsciel and R. M. Wald, Commun. Math. Phys. 163 (1994), 561.
28. P. T. Chrúsciel and J. L. Costa, arXiv:0806.0016.
29. P. T. Chrúsciel, J. Math. Phys. 50 (2009), 052501.
30. P. T. Chrúsciel and R. M. Wald, Class. Quant. Grav. 11 (1994), L147.
31. B. Carter, Nature Phys. Sci. 238 (1972), 71.
32. P. T. Chrúsciel, Commun. Math. Phys. 189 (1997), 1.
33. D. Sudarsky and R. M. Wald, Phys. Rev. D 46 (1992), 1453.
34. W. Israel, Phys. Rev. 164 (1967), 1776.
35. M. Heusler, Black hole uniqueness theorems (Cambridge University Press, Cambridge, 1996).
36. T. Harmark, Phys. Rev. D 70 (2004), 124002.
37. T. Harmark and P. Olesen, Phys. Rev. D 72 (2005), 124017.
38. R. Emparan and H. S. Reall, Phys. Rev. D 65 (2002), 084025.
39. S. Hollands and S. Yazadjiev, Commun. Math. Phys. 283 (2008), 749.
40. S. Hollands and S. Yazadjiev, arXiv:0812.3036.
41. H. S. Reall, Phys. Rev. D 68 (2003), 024024
42. Errata; 70 (2004), 089902.
43. S. Hollands, J. Holland and A. Ishibashi, Ann. Henri Poincaŕe 12 (2011), 279.
44. T. Harmark, Phys. Rev. D 80 (2009), 024019.
45. P. T. Chrúsciel, G. J. Galloway and D. Solis, Ann. Henri Poincaŕe 10 (2009), 893.
46. G. J. Galloway, K. Schleich, D. Witt and E. Woolgar, Phys. Lett. B 505 (2001), 255.
47. P. Orlik and F. Raymond, Trans. AMS 152 No. 2 (1970), 531.
48. S. Hwang, Geometriae Dedicata 71 (1998), 5.
49. G. W. Gibbons, D. Ida and T. Shiromizu, Phys. Rev. D 66 (2002), 044010.
50. G. W. Gibbons, D. Ida and T. Shiromizu, Phys. Rev. Lett. 89 (2002), 041101.
51. S. Hollands, A. Ishibashi and R. M. Wald, Commun. Math. Phys. 271 (2007), 699.
52. V. Moncrief and J. Isenberg, Class. Quant. Grav. 25 (2008), 195015.
53. V. Moncrief and J. Isenberg, Commun. Math. Phys. 89 (1983), 387.
54. J. Isenberg and V. Moncrief, J. Math. Phys. 26 (1985), 1024.
55. H. Friedrich, I. Racz and R. M. Wald, Commun. Math. Phys. 204 (1999), 691.
56. R. C. Myers and M. J. Perry, Ann. of Phys. 172 (1986), 304.
57. S. Hollands and A. Ishibashi, Commun. Math. Phys. 291 (2009), 403.
58. P. Walters, An Introduction to Ergodic Theory (Springer-Verlag, New York, 1982).
59. I. Racz, Class. Quant. Grav. 17 (2000), 153.
60. I. Racz and R. M. Wald, Class. Quant. Grav. 9 (1992), 2643.
61. I. Racz and R. M. Wald, Class. Quant. Grav. 13 (1996), 539.
62. A. D. Ionescu and S. Klainerman, Commun. Math. Phys. 285 (2009), 875.
63. A. D. Ionescu and S. Klainerman, Invent. Math. 175 (2009), 35.
64. M. Rogatko, Phys. Rev. D 71 (2005), 024031.
65. F. R. Tangherlini, Nuovo Cim. 27 (1963), 636.
66. G. W. Gibbons, D. Ida and T. Shiromizu, Prog. Theor. Phys. Suppl. No. 148 (2002), 284.
67. G. L. Bunting and A. K. M. Masood-ul-Alam, Gen. Relat. Gravit. 19 (1987), 147.
68. R. Schoen and S. T. Yau, Commun. Math. Phys. 65 (1979), 45.
69. E. Witten, Commun. Math. Phys. 80 (1981), 381.
70. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Wiley Interscience, New York, 1969), Vol. II, Sec. VII, Theorem 5.1.
71. G. W. Gibbons and K. Maeda, Nucl. Phys. B 298 (1988), 741.
72. M. Rogatko, Class. Quant. Grav. 19 (2002), L151.
73. R. Emparan, S. Ohashi and T. Shiromizu, Phys. Rev. D 82 (2010), 084032.
74. P. T. Chrúsciel, H. S. Reall and P. Tod, Class. Quant. Grav. 23 (2006), 549.
75. M. Rogatko, Phys. Rev. D 67 (2003), 084025.
76. M. Rogatko, Phys. Rev. D 73 (2006), 124027.
77. W. Boucher, G. W. Gibbons and G. T. Horowitz, Phys. Rev. D 30 (1984), 2447.
78. M. T. Anderson, P. T. Chrúsciel and E. Delay, J. High Energy Phys. 10 (2002), 063.
79. H. Kodama, Prog. Theor. Phys. 112 (2004), 249.
80. Y. Morisawa and D. Ida, Phys. Rev. D 69 (2004), 124005.
81. B. Carter, Phys. Rev. Lett. 26 (1971), 331.
82. D. Maison, Gen. Relat. Gravit. 10 (1979), 717.
83. P. O. Mazur, Phys. Lett. A 100 (1984), 341.
84. G. L. Bunting, "Proof of the uniqueness conjecture for black holes", Ph.D. Thesis, Univ.
85. of New England, Armidale, N.S.W., 1983.
86. A. A. Pomeransky and R. A. Sen'kov, hep-th/0612005.
87. J. Evslin, J. High Energy Phys. 09 (2008), 004.
88. Y. Chen and E. Teo, Phys. Rev. D 78 (2008), 064062.
89. P. T. Chrúsciel and L. Nguyen, Ann. Henri Poincaŕe 11 (2010), 585.
90. A. J. Amsel, G. T. Horowitz, D. Marolf and M. M. Roberts, Phys. Rev. D 81 (2010), 024033.
91. P. Figueras and J. Lucietti, Class. Quant. Grav. 27 (2010), 095001.
92. P. Hajicek, Commun. Math. Phys. 36 (1974), 305.
93. J. Lewandowski and T. Pawlowski, Class. Quant. Grav. 20 (2003), 587.
94. H. K. Kunduri and J. Lucietti, J. Math. Phys. 50 (2009), 082502.
95. J. M. Bardeen and G. T. Horowitz, Phys. Rev. D 60 (1999), 104030.
96. H. K. Kunduri and J. Lucietti, Class. Quant. Grav. 26 (2009), 245010.
97. P. Figueras, H. K. Kunduri, J. Lucietti and M. Rangamani, Phys. Rev. D 78 (2008), 044042.
98. H. K. Kunduri, J. Lucietti and H. S. Reall, Class. Quant. Grav. 24 (2007), 4169.
99. S. Hollands and A. Ishibashi, Ann. Henri Poincaŕe 10 (2010), 1537.
100. H. Elvang and P. Figueras, J. High Energy Phys. 05 (2007), 050.
101. H. Iguchi and T. Mishima, Phys. Rev. D 75 (2007), 064018.
102. K. Tanabe, S. Ohashi and T. Shiromizu, Phys. Rev. D 82 (2010), 104042.