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Event Horizons in Static Vacuum Space-Times
Abstract
The following theorem is established. Among all static, asymptotically flat vacuum space-times with closed simply connected equipotential surfaces ${g}_{00}=\mathrm{constant}$, the Schwarzschild solution is the only one which has a nonsingular infinite-red-shift surface ${g}_{00}=0$. Thus there exists no static asymmetric perturbation of the Schwarzschild manifold due to internal sources (e.g., a quadrupole moment) which will preserve a regular event horizon. Possible implications of this result for asymmetric gravitational collapse are briefly discussed.
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Citations
Cited by
Cosmological event horizons, thermodynamics, and particle creation
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2738 · Cited by 3,192
Black holes in higher dimensional space-times
Myers, R. C., & Perry, M. J. (1986) · Annals of Physics · doi:10.1016/0003-4916(86)90186-7 · Cited by 2,125
Tests of General Relativity with GW150914
Abbott, B. P., Abbott, R., Abbott, T. D., Abernathy, M. R., Acernese, F., Ackley, K., Adams, C., Adams, T., Addesso, P., Adhikari, R. X., et al. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.221101 · Cited by 1,773
Bousso, R. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.825 · Cited by 1,741
Black holes in general relativity
Hawking, S. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01877517 · Cited by 1,561
Metadata
- Authors
- Israel, W.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1967-12-25
- Volume
- 164
- Issue
- 5
- Pages
- 1776-1779
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2052907476
- Cited by
- 1,373
- References
- 0
- FWCI
- 4.26
- Type
- journal article
- Language
- en
- Open access
- closed
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