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Prog. Theor. Phys. Supplement No.189 (2011) pp. 7-51

[ Full Text PDF : FREE ACCESS (390K) ]

Chapter 2. Exact Solutions of Higher Dimensional Black Holes

Shinya Tomizawa1 and Hideki Ishihara2

1Cosmophysics Group, Theory Center, Institute of Particle and Nuclear Studies, KEK, Tsukuba 305-0801, Japan
2Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585, Japan

(Received May 9, 2011)

Abstract:

We review exact solutions of black holes in higher dimensions, focusing on asymptotically flat black hole solutions and Kaluza-Klein type black hole solutions. We also summarize some properties which such black hole solutions reveal.


URL : http://ptp.ipap.jp/link?PTPS/189/7/
DOI : 10.1143/PTPS.189.7

[ Full Text PDF : FREE ACCESS (390K) ] Citation:


References:

  1. K. Schwarzschild, KL. Math.-Phys. Tech. (1916), 189.
  2. R. P. Kerr, Phys. Rev. Lett. 11 (1963), 237[APS].
  3. R. Emparan and H. S. Reall, Living Rev. Rel. 11 (2008), 6.
  4. R. Emparan and H. S. Reall, Class. Quant. Grav. 23 (2006), R169[IoP STACKS].
  5. T. Mishima and H. Iguchi, Phys. Rev. D 73 (2006), 044030[APS].
  6. P. Figueras, J. High Energy Phys. 07 (2005), 039[CrossRef].
  7. J. Evslin, J. High Energy Phys. 09 (2008), 004[CrossRef].
  8. Y. Chen and E. Teo, Nucl. Phys. B 838 (2010), 207[CrossRef].
  9. H. Elvang and P. Figueras, J. High Energy Phys. 05 (2007), 050[CrossRef].
  10. H. Iguchi and T. Mishima, Phys. Rev. D 75 (2007), 064018[APS].
  11. H. Elvang and M. J. Rodriguez, J. High Energy Phys. 04 (2008), 045[IoP STACKS].
  12. K. Izumi, Prog. Theor. Phys. 119 (2008), 757[PTP].
  13. H. S. Tan and E. Teo, Phys. Rev. D 68 (2003), 044021[APS].
  14. C. A. R. Herdeiro, C. Rebelo, M. Zilhao and M. S. Costa, J. High Energy Phys. 07 (2008), 009[IoP STACKS].
  15. R. C. Myers and M. J. Perry, Ann. of Phys. 172 (1986), 304[CrossRef].
  16. F. R. Tangherlini, Nuovo Cim. 27 (1963), 636.
  17. J. Doukas, arXiv:1009.6118[e-print arXiv].
  18. H. Weyl, Ann. der Phys. 359 (1917), 117.
  19. A. Papapetrou, Ann. der Phys. 447 (1953), 309.
  20. A. Papapetrou, Ann. Inst. Henri Poincaré A 4 (1966), 83.
  21. R. Emparan and H. S. Reall, Phys. Rev. D 65 (2002), 084025[APS].
  22. T. Harmark, Phys. Rev. D 70 (2004), 124002[APS].
  23. S. Hollands and S. Yazadjiev, Commun. Math. Phys. 283 (2008), 749[CrossRef].
  24. M. I. Cai and G. J. Galloway, Class. Quant. Grav. 18 (2001), 2707[CrossRef].
  25. C. Helfgott, Y. Oz and Y. Yanay, J. High Energy Phys. 02 (2006), 025[IoP STACKS].
  26. G. J. Galloway and R. Schoen, Commun. Math. Phys. 266 (2006), 571[CrossRef].
  27. R. Emparan and H. S. Reall, Phys. Rev. Lett. 88 (2002), 101101[APS].
  28. A. A. Pomeransky and R. A. Sen'kov, hep-th/0612005[e-print arXiv].
  29. J. P. Gauntlett, J. B. Gutowski, C. M. Hull, S. Pakis and H. S. Reall, Class. Quant. Grav. 20 (2003), 4587[CrossRef].
  30. H. Ishihara, M. Kimura, K. Matsuno and S. Tomizawa, Class. Quant. Grav. 23 (2006), 6919[CrossRef].
  31. G. W. Gibbons, D. Ida and T. Shiromizu, Prog. Theor. Phys. Suppl. No.148 (2002), 284[PTP]; Phys. Rev. Lett. 89 (2002), 041101[APS].
  32. For review, M. Heusler, Black Hole Uniqueness Theorems (Cambridge University Press, Cambridge, 1996).
  33. W. Israel, Phys. Rev. 164 (1967), 1776[APS].
  34. G. L. Bunting and A. K. M. Masood-ul-Alam, Gen. Relat. Gravit. 19 (1987), 147.
  35. R. Emparan, J. High Energy Phys. 03 (2004), 064[CrossRef].
  36. S. Tomizawa, Y. Morisawa and Y. Yasui, Phys. Rev. D 73 (2006), 064009[APS].
  37. Y. Morisawa, S. Tomizawa and Y. Yasui, Phys. Rev. D 77 (2008), 064019[APS].
  38. P. T. Chruściel, J. Cortier and A. G.-P. Gomez-Lobo, arXiv:0911.0802[e-print arXiv].
  39. P. T. Chruściel and S. J. Szybka, arXiv:1010.0213[e-print arXiv].
  40. D. Kramer and G. Neugebauer, Phys. Lett. A 75 (1980), 259[CrossRef].
  41. C. Hoenselaers, Prog. Theor. Phys. 72 (1984), 761[PTP].
  42. W. Dietz and C. Hoenselaers, Ann. of Phys. 165 (1985), 319[CrossRef].
  43. H. Stephani, D. Kramer, M. MacCallum, C. Hoenselaers and E. Herlt, Exact Solutions to Einstein's Field Equations, Second Edition (Cambridge University Press, Cambridge, 2003).
  44. G. Neugebauer and J. Hennig, Gen. Relat. Gravit. 41 (2009), 2113.
  45. R. Wald, Phys. Rev. D 6 (1972), 406[APS].
  46. P. T. Chrusciel, M. Eckstein, and S. J. Szybka, J. High Energy Phys. 11 (2010), 048[Springer].
  47. S. J. Szybka, arXiv:1102.3942[e-print arXiv].
  48. J. Evslin and C. Krishnan, Class. Quant. Grav. 26 (2009), 125018[IoP STACKS].
  49. H. Iguchi and T. Mishima, Phys. Rev. D 82 (2010), 084009[APS].
  50. H. Ishihara and K. Matsuno, Prog. Theor. Phys. 116 (2006), 417[PTP].
  51. T. Wang, Nucl. Phys. B 756 (2006), 86[CrossRef].
  52. T. Nakagawa, H. Ishihara, K. Matsuno and S. Tomizawa, Phys. Rev. D 77 (2008), 044040[APS].
  53. S. Tomizawa, H. Ishihara, K. Matsuno and T. Nakagawa, Prog. Theor. Phys. 121 (2009), 823[PTP].
  54. K. Matsuno, H. Ishihara, T. Nakagawa and S. Tomizawa, Phys. Rev. D 78 (2008), 064016[APS].
  55. S. Tomizawa and A. Ishibashi, Class. Quant. Grav. 25 (2008), 245007[IoP STACKS].
  56. S. Tomizawa, arXiv:1009.3568[e-print arXiv].
  57. D. Gaiotto, A. Strominger and X. Yin, J. High Energy Phys. 02 (2006), 023[IoP STACKS].
  58. H. Elvang, R. Emparan, D. Mateos and H. S. Reall, J. High Energy Phys. 08 (2005), 042[CrossRef].
  59. H. Lu, J. Mei and C. N. Pope, Nucl. Phys. B 806 (2009), 436[CrossRef].
  60. H. Lu, J. Mei and C. N. Pope, Class. Quant. Grav. 27 (2010), 075013[IoP STACKS].
  61. S. Tomizawa, Y. Yasui and Y. Morisawa, Class. Quant. Grav. 26 (2009), 145006[IoP STACKS].
  62. D. V. Gal'tsov and N. G. Scherbluk, Phys. Rev. D 79 (2009), 064020[APS].
  63. D. Rasheed, Nucl. Phys. B 454 (1995), 379[CrossRef].
  64. A. Chodos and S. Detweiler, Gen. Relat. Gravit. 14 (1982), 879.
  65. V. P. Frolov, A. I. Zel'nikov and U. Bleyer, Ann. der Phys. 449 (1987), 371.
  66. P. Dobiasch and D. Maison, Gen. Relat. Gravit. 14 (1982), 231.
  67. G. W. Gibbons and D. L. Wiltshire, Ann. of Phys. 167 (1986), 201[CrossRef].
  68. D. Pollard, J. of Phys. A 16 (1983), 565[IoP STACKS].
  69. G. W. Gibbons and K. Maeda, Nucl. Phys. B 298 (1988), 741[CrossRef].
  70. D. Maison, Gen. Relat. Gravit. 10 (1979), 717.
  71. M. Cvetič and D. Youm, Phys. Rev. D 52 (1995), 2144[APS].
  72. M. Cvetič and D. Youm, Phys. Rev. Lett. 75 (1995), 4165[APS].
  73. U. Bleyer and V. D. Ivashchuk, Phys. Lett. B 332 (1994), 292[CrossRef].
  74. K. A. Bronnikov and V. N. Melnikov, Ann. of Phys. 239 (1995), 40[CrossRef].
  75. I. Bena and P. Kraus, Phys. Rev. D 70 (2004), 046003[APS].
  76. I. Bena, P. Kraus and N. P. Warner, Phys. Rev. D 72 (2005), 084019[APS].
  77. I. Bena and N. P. Warner, Adv. Theor. Math. Phys. 9 (2005), 667.
  78. I. Bena, S. Giusto, C. Ruef and N. P. Warner, J. High Energy Phys. 11 (2009), 032[IoP STACKS].
  79. H. Elvang, R. Emparan, D. Mateos and H. S. Reall, Phys. Rev. D 71 (2005), 024033[APS].
  80. J. Ford, S. Giusto, A. Peet and A. Saxena, Class. Quant. Grav. 25 (2008), 075014[IoP STACKS].
  81. J. Camps, R. Emparan, P. Figueras, S. Giusto and A. Saxena, J. High Energy Phys. 02 (2009), 021[IoP STACKS].
  82. S. Giusto, S. F. Ross and A. Saxena, J. High Energy Phys. 12 (2007), 065[IoP STACKS].
  83. I. Bena, G. Dall'Agata, S. Giusto, C. Ruef and N. P. Warner, J. High Energy Phys. 06 (2009), 015[IoP STACKS].
  84. G. Compère, S. Buyl, E. Jamsin and A. Virmani, Class. Quant. Grav. 26 (2009), 125016[IoP STACKS].
  85. G. W. Gibbons and M. J. Perry, Nucl. Phys. B 248 (1984), 629[CrossRef].
  86. M. Cvetič and D. Youm, Nucl. Phys. B 438 (1995), 182[CrossRef].
  87. M. Cvetič and D. Youm, Nucl. Phys. B 453 (1995), 259[CrossRef].
  88. M. Cvetič and D. Youm, Phys. Rev. D 52 (1995), 2574[APS].
  89. W. Nelson, Phys. Rev. D 49 (1994), 5302[APS].
  90. M. Cvetič and D. Youm, Nucl. Phys. B 476 (1996), 118[CrossRef].
  91. C. A. R. Herdeiro, Nucl. Phys. B 665 (2003), 189[CrossRef].
  92. E. Gimon and A. Hashimoto, Phys. Rev. Lett. 91 (2003), 021601[APS].
  93. C. A. R. Herdeiro, Class. Quant. Grav. 20 (2003), 4891[IoP STACKS].
  94. S.-Q. Wu, Phys. Rev. Lett. 100 (2008), 121301[APS].
  95. A. Bouchareb, G. Clément, C.-M. Chen, D. V. Gal'tsov, N. G. Scherbluk and T. Wolf, Phys. Rev. D 76, 104032 (2007)[APS] [ Errata; 78 (2008), 029901[APS]].
  96. D. V. Gal'tsov and N. G. Scherbluk, Phys. Rev. D 78 (2008), 064033[APS].
  97. G. W. Gibbons and S. W. Hawking, Phys. Lett. B 78 (1978), 430[CrossRef].
  98. D. J. Gross and M. J. Perry, Nucl. Phys. B 226 (1983), 29[CrossRef].
    R. D. Sorkin, Phys. Rev. Lett. 51 (1983), 87[APS].
  99. R. C. Myers, Phys. Rev. D 35 (1987), 455[APS].
  100. K. Maeda, N. Ohta and M. Tanabe, Phys. Rev. D 74 (2006), 104002[APS].
  101. E. Witten, Nucl. Phys. B 195 (1982), 481[CrossRef].
  102. H. Elvang and G. T. Horowitz, Phys. Rev. D 67 (2003), 044015[APS].
  103. S. Tomizawa, H. Iguchi and T. Mishima, Phys. Rev. D 78 (2008), 084001[APS].
  104. H. Iguchi, T. Mishima and S. Tomizawa, Phys. Rev. D 76 (2007), 124019 [APS][ Errata; 78 (2008), 109903[APS]].
  105. H. Elvang, T. Harmark and N. A. Obers, J. High Energy Phys. 01 (2005), 003[IoP STACKS].
  106. T. Harmark and N. A. Obers, hep-th/050300[e-print arXiv].
  107. J. Kunz, and S. S. Yazadjiev, Phys. Rev. D 79 (2009), 024010[APS].
  108. S. S. Yazadjiev and P. G. Nedkova, J. High Energy Phys. 01 (2010), 048[Springer].
  109. P. G. Nedkova and S. S. Yazadjiev, Phys. Rev. D 82 (2010), 044010[APS].