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Extreme Kerr throat geometry: A vacuum analog ofAdS2×S2
Open accessAbstract
We study the near-horizon limit of a four-dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group $\mathrm{SL}(2,R)\ifmmode\times\else\texttimes\fi{}\mathrm{U}(1).$ We show that many of the properties of this solution are similar to the ${\mathrm{AdS}}_{2}{\ifmmode\times\else\texttimes\fi{}\mathrm{S}}^{2}$ geometry arising in the near-horizon limit of extreme charged black holes. In particular, the boundary at infinity is a timelike surface. This suggests the possibility of a dual quantum mechanical description. A five-dimensional generalization is also discussed.
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Cites
The large $N$ limit of superconformal field theories and supergravity
Maldacena, J. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a1 · Cited by 14,524
Wald, R. M. (1984) · doi:10.7208/chicago/9780226870373.001.0001 · Cited by 7,188
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The singularities of gravitational collapse and cosmology
Hawking, S. W., & Penrose, R. (1970) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1970.0021 · Cited by 2,100
Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
Carter, B. (1968) · Communications in Mathematical Physics · doi:10.1007/bf03399503 · Cited by 1,111
Maldacena, J., Michelson, J., & Strominger, A. (1999) · Journal of High Energy Physics · doi:10.1088/1126-6708/1999/02/011 · Cited by 548
Vacuum states for AdS2 black holes
Spradlin, M., & Strominger, A. (1999) · Journal of High Energy Physics · doi:10.1088/1126-6708/1999/11/021 · Cited by 172
Cited by
de Rham, C. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-7 · Cited by 1,120
Astefanesei, D., Goldstein, K., Jena, R. P., Sen, A., & Trivedi, S. P. (2006) · Journal of High Energy Physics · doi:10.1088/1126-6708/2006/10/058 · Cited by 259
New boundary conditions for AdS2
Godet, V., & Marteau, C. (2020) · Journal of High Energy Physics · doi:10.1007/jhep12(2020)020 · Cited by 61
Sailing from warped AdS3 to warped dS3 in topologically massive gravity
Anninos, D. (2010) · Journal of High Energy Physics · doi:10.1007/jhep02(2010)046 · Cited by 36
Quantum Kerr-de Sitter black holes in three dimensions
Panella, E., & Svesko, A. (2023) · Journal of High Energy Physics · doi:10.1007/jhep06(2023)127 · Cited by 33
Metadata
- Authors
- Bardeen, J., & Horowitz, G. T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1999-10-26
- Volume
- 60
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W1518587481
- Cited by
- 495
- References
- 7
- FWCI
- 1.66
- Type
- journal article
- Language
- en
- Open access
- green
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