Testing cosmic censorship with black hole collisions

Dieter R. Brill; Gary T. Horowitz; David Kastor; Jennie Traschen

doi:10.1103/PhysRevD.49.840

Access by Xinjiang University

Testing cosmic censorship with black hole collisions

Dieter R. Brill and Gary T. Horowitz

David Kastor and Jennie Traschen

Institute for Theoretical Physics, University of California, Santa Barbara, California 93106

Department of Physics and Astronomy, University of Massachusetts, Amherst, Massachusetts 01003

PDF

Phys. Rev. D 49, 840 – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.840

Abstract

There exists an upper limit on the mass of black holes when the cosmological constant Λ is positive. We study the collision of two black holes whose total mass exceeds this limit. Our investigation is based on a recently discovered exact solution describing the collision of Q=M black holes with Λ>0. The global structure of this solution is analyzed. We find that if the total mass is less than the extremal limit, then the black holes coalesce. If it is greater, then a naked singularity forms to the future of a Cauchy horizon. However, the horizon is not smooth. Generically, there is a mild curvature singularity, which still allows geodesics to be extended. The implications of these results for cosmic censorship are discussed.

References (18)

R. Penrose, Nuovo Cimento 1, 252 (1969).
R. M. Wald, Ann. Phys. (N.Y.) 82, 548 (1974).
D. Kastor and J. Traschen, Phys. Rev. D 47, 5370 (1993).
S. Chandrasekhar and J. Hartle, Proc. R. Soc. London A384, 301 (1982); E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990); A. Ori, Phys. Rev. Lett. 67, 789 (1991).
F. Mellor and I. Moss, Phys. Rev. D 41, 403 (1990).
T. Damour, in Proceedings of the Fourth Marcel Grossman Meeting on General Relativity, Rome, Italy, 1985, edited by R. Ruffini (North-Holland, Amsterdam, 1986), and references therein.
T. Shiromizu, K. Nakao, H. Kodama and K. Maeda, Phys. Rev. D 47, R3099, (1993).
D. Brill and S. Hayward, Class. Quantum Grav. (to be published).
F. Mellor and I. Moss, Phys. Lett. B 222, 361 (1989); Class. Quantum Grav. 6, 1379 (1989).
S. D. Majumdar, Phys. Rev. 72, 930 (1947); A. Papapetrou, Proc. R. Irish Acad. A51, 191 (1947).
N. Nakao, K. Yamamoto and K. Maeda, Phys. Rev. D 47, 3203 (1993).
P. T. Chruściel and D. B. Singleton, Commun. Math. Phys. 147, 137 (1992).
B. Schmidt (private communication).
J. B. Hartle and S. W. Hawking, Commun. Math. Phys. 26, 87 (1972).
D. R. Brill and R. W. Lindquist, Phys. Rev. 131, 471 (1963).
D. Boulware, Phys. Rev. D 8, 2363 (1973).
A. Ori, Class. Quantum Grav. 7, 985 (1990).
A. Ori, Phys. Rev. D 44, 2278 (1991).

[c1] R. Penrose, Nuovo Cimento 1, 252 (1969).

[c2] R. M. Wald, Ann. Phys. (N.Y.) 82, 548 (1974).

[c3] D. Kastor and J. Traschen, Phys. Rev. D 47, 5370 (1993).

[c4] S. Chandrasekhar and J. Hartle, Proc. R. Soc. London A384, 301 (1982); E. Poisson and W. Israel, Phys. Rev. D 41, 1796 (1990); A. Ori, Phys. Rev. Lett. 67, 789 (1991).

[c5] F. Mellor and I. Moss, Phys. Rev. D 41, 403 (1990).

[c6] T. Damour, in Proceedings of the Fourth Marcel Grossman Meeting on General Relativity, Rome, Italy, 1985, edited by R. Ruffini (North-Holland, Amsterdam, 1986), and references therein.

[c7] T. Shiromizu, K. Nakao, H. Kodama and K. Maeda, Phys. Rev. D 47, R3099, (1993).

[c8] D. Brill and S. Hayward, Class. Quantum Grav. (to be published).

[c9] F. Mellor and I. Moss, Phys. Lett. B 222, 361 (1989); Class. Quantum Grav. 6, 1379 (1989).

[c10] S. D. Majumdar, Phys. Rev. 72, 930 (1947); A. Papapetrou, Proc. R. Irish Acad. A51, 191 (1947).

[c11] N. Nakao, K. Yamamoto and K. Maeda, Phys. Rev. D 47, 3203 (1993).

[c12] P. T. Chruściel and D. B. Singleton, Commun. Math. Phys. 147, 137 (1992).

[c13] B. Schmidt (private communication).

[c14] J. B. Hartle and S. W. Hawking, Commun. Math. Phys. 26, 87 (1972).

[c15] D. R. Brill and R. W. Lindquist, Phys. Rev. 131, 471 (1963).

[c16] D. Boulware, Phys. Rev. D 8, 2363 (1973).

[c17] A. Ori, Class. Quantum Grav. 7, 985 (1990).

[c18] A. Ori, Phys. Rev. D 44, 2278 (1991).

Physical Review D

Export citation

Export citation

Testing cosmic censorship with black hole collisions

Abstract

References (18)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation