Distorted black holes of the Einstein-Klein-Gordon system

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 70, Issue 6, 2004, Pages

  Estevez Delgado, J ^a   Zannias, T ^a  

^a UNIVERSIDAD MICHOACANA DE SAN NICOLÁS DE HIDALGO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BLACK HOLE; COSMOLOGICAL PHENOMENA; EINSTEIN KLEIN GORDON EQUATION; ENERGY; GRAVITY; MATHEMATICAL MODEL; QUANTUM THEORY; THERMODYNAMICS; VACUUM;

EID: 84927714515     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.70.064038     Document Type: Article

References (46)

1. For a discussion and references to this intriguing connection, see R. M. Wald, Quantum Field Theory in Curve Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994).
2. R. Penrose, Rivista del Nuovo Cimento 1, 252 (1969).
3. For an overview of those theorems and references to earlier work see, for instance, M. Heusler, Black Hole Uniqueness Theorems (Cambridge University Press, Cambridge, 1996); http://www.livingreviews.org/Articles/ Volume1/1998-6heusler
4. G. W. Gibbons and K. Maeda, Nucl. Phys. B298, 741 (1988); 10.1016/0550-3213(88)90006-5
5. D. Garfinkle, G. Horowitz, and A. Strominger, Phys. Rev. D 43, 3140 (1991); 10.1103/PhysRevD.43.3140
6. D. GarfinkleG. HorowitzA. StromingerPhys. Rev. D45, 3888(E) (1992); 10.1103/PhysRevD.45.3888
7. P. Bizon, Phys. Rev. Lett. 64, 2844 (1990); 10.1103/PhysRevLett.64.2844
8. M. S. Volkov and D. V. Galtsov, Sov. J. Nucl. Phys. 51, 747 (1990)
9. H. P. Kunzle and A. K. M. Masood-ul-Alam, J. Math. Phys. (N.Y.) 31, 928 (1990); 10.1063/1.528773
10. D. Sudarsky and R. M. Wald, Phys. Rev. D 47, 5209 (1993); 10.1103/PhysRevD.47.R5209
11. D. SudarskyR. M. WaldPhys. Rev. D46, 1453 (1992); 10.1103/PhysRevD.46.1453
12. A. K. M. Masood-ul-Alam, Classical Quantum Gravity 9, L53 (1992); 10.1088/0264-9381/9/5/001
13. B. R. Greene, S. D. Mathur, and C. M. O’Neill, Phys. Rev. D 47, 2242 (1993); 10.1103/PhysRevD.47.2242
14. G. Lavrelashvili and D. Maison, Nucl. Phys. B410, 407 (1993); 10.1016/0550-3213(93)90441-Q
15. D. Sudarsky, Classical Quantum Gravity 12, 579 (1995); 10.1088/0264-9381/12/2/023
16. A. E. Mayo and J. D. Bekenstein, Phys. Rev. D 54, 5059 (1996); 10.1103/PhysRevD.54.5059
17. N. E. Mavromatos and E. Winstanley, Phys. Rev. D 53, 3190 (1996); 10.1103/PhysRevD.53.3190
18. P. Kanti, Phys. Rev. D 53, 3190 (1996); 10.1103/PhysRevD.53.3190
19. H. Dennhardt and O. Lechtenfeld, Int. J. Mod. Phys. A 13, 741 (1998); 10.1142/S0217751X98000329
20. I. Peña and D. Sudarsky, Classical Quantum Gravity 18, 1461 (2001); 10.1088/0264-9381/18/8/304
21. K. A. Bronikov and G. N. Shikin, Gravitation Cosmol. 8, 107 (2002)
22. E. Ayon-Beato, Classical Quantum Gravity 19, 5465 (2002); 10.1088/0264-9381/19/21/311
23. U. Nucamendi and M. Salgado, Phys. Rev. D 68, 044026 (2003).10.1103/PhysRevD.68.044026
24. For a thorough discussion on the issues involved and a critical assessment of the assumptions employed in the establishment of the so far constructed uniqueness theorems, consult P. T. Chruściel, Contemp Math. 170, 23 (1994).
25. D. Sudarsky and R. M. Wald, Ref.
26. W. Israel, Lett. Nuovo Cimento 6, 267 (1973)
27. W. Israel and K. A. Khan, Nuovo Cimento 33, 331 (1964).
28. L. A. Mysak and G. Szekeres, Can. J. Phys. 44, 617 (1966).
29. R. Geroch and J. B. Hartle, J. Math. Phys. (N.Y.) 23, 680 (1982).10.1063/1.525384
30. P. C. Peters, J. Math. Phys. (N.Y.) 20, 1481 (1979).10.1063/1.524204
31. B. C. Xanthopoulos, Proc. R. Soc. London, Ser. A 388, 117 (1983).
32. S. Chandrasekhar, The Mathematical Theory of Black Holes (Clarendon Press, Oxford, 1983).
33. S. Fairhurst and B. Krishnan, Int. J. Mod. Phys. D 10, 691 (2001).10.1142/S0218271801001086
34. S. S. Yazadjiev, Classical Quantum Gravity 18, 2105 (2001).10.1088/0264-9381/18/11/308
35. A. Ashtekar, C. Beetle, O. Dreyer, S. Faihurst, B. Krishnan, J. Lewandowski, and J. Winiewski, Phys. Rev. Lett. 85, 3564 (2000); 10.1103/PhysRevLett.85.3564
36. A. Ashtekar, C. Beetle, and S. Fairhurst, Classical Quantum Gravity 17, 253 (2000); 10.1088/0264-9381/17/2/301
37. A. Ashtekar, S. Fairhurst, and B. Krishnan, Phys. Rev. D 62, 104025 (2000)
38. A. Ashtekar, A. Corichi, and D. Sudarsky, Classical Quantum Gravity 20, 3413 (2003).10.1088/0264-9381/20/15/310
39. A. V. Frolov and V. P. Frolov, Phys. Rev. D 67, 124025 2003.10.1103/PhysRevD.67.124025
40. It should be stressed here that the Einstein-Klein-Gordon system may admit solutions possessing Killing horizons of diverse topologies. Of particular importance would be solutions admitting an (Formula presented) horizon. Such solutions are associated with toroidal black holes and their constructions and properties will be discussed elsewhere: J. Estevez Delgado and T. Zannias, “On Toroidal Black Hole Solutions and Other Axisymmetric Solutions of Einstein-Klein-Gordon System” (to be published).
41. For the various definitions involved here, see, for instance, R. M. Wald, General Relativity (Chicago University Press, Chicago, 1984).
42. All algebraic computations reported in this article have been done using GRTensor developed by P. Musgrave, D. Pollney, and K. Lake, GRTensorII (Queen’s University, Kingston, 1994).
43. J. E. Chase, Commun. Math. Phys. 19, 276 (1970)
44. J. D Bekenstein, Phys. Rev. D 5, 1239 (1972); 10.1103/PhysRevD.5.1239
45. T. Zannias, J. Math. Phys. (N.Y.) 36, 6970 (1995).10.1063/1.531201
46. J. Estevez-Delgado, U. Nucamendi, and T. Zannias (unpublished).