The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Isolated horizons: Hamiltonian evolution and the first law
Open accessAbstract
A framework was recently introduced to generalize black hole mechanics by replacing stationary event horizons with isolated horizons. That framework is significantly extended. The extension is nontrivial in that not only do the boundary conditions now allow the horizon to be distorted and rotating, but also the subsequent analysis is based on several new ingredients. Specifically, although the overall strategy is closely related to that in the previous work, the dynamical variables, the action principle and the Hamiltonian framework are all quite different. More importantly, in the nonrotating case, the first law is shown to arise as a necessary and sufficient condition for the existence of a consistent Hamiltonian evolution. Somewhat surprisingly, this consistency condition in turn leads to new predictions even for static black holes. To complement the previous work, the entire discussion is presented in terms of tetrads and associated (real) Lorentz connections.
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106 · cited 1×
“The standard treatments [1, 2, 3, 4, 5] restrict themselves to stationary space-times admitting event horizons and small perturbations from stationarity.”
BackgroundThe four laws of black hole mechanics
Bardeen, J. M., Carter, B., & Hawking, S. W. (1973) · Communications in Mathematical Physics · doi:10.1007/bf01645742 · Cited by 3,932
An Approach to Gravitational Radiation by a Method of Spin Coefficients
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Quantum geometry and black hole entropy
Ashtekar, A., Baez, J., Corichi, A., & Krasnov, K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.904 · Cited by 1,105 · cited 1×
“Since, at present, the self dual variables appear to be indispensable for non-perturbative quantization, the results obtained here will have to be re-expressed in terms of self-dual variables in order to extend the analysis [19] of the quantum horizon geometry and black hole entropy to include rotation.”
BackgroundSelf-citationLectures on Non-Perturbative Canonical Gravity
Ashtekar, A. (1991) · Advanced Series in Astrophysics and Cosmology · doi:10.1142/1321 · Cited by 872
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Cited by
Background independent quantum gravity: a status report
Ashtekar, A., & Lewandowski, J. (2004) · Classical and Quantum Gravity · doi:10.1088/0264-9381/21/15/r01 · Cited by 1,951
Self-citationThe Thermodynamics of Black Holes
Wald, R. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-6 · Cited by 758
Quantum geometry of isolated horizons and black hole entropy
Ashtekar, A., Baez, J. C., & Krasnov, K. (2000) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2000.v4.n1.a1 · Cited by 580
Self-citationThe SXS collaboration catalog of binary black hole simulations
Boyle, M., Hemberger, D., Iozzo, D. A. B., Lovelace, G., Ossokine, S., Pfeiffer, H. P., Scheel, M. A., Stein, L. C., Woodford, C. J., Zimmerman, A. B., et al. (2019) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ab34e2 · Cited by 454
Dynamical horizons and their properties
Ashtekar, A., & Krishnan, B. (2003) · Physical Review D · doi:10.1103/physrevd.68.104030 · Cited by 386
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Metadata
- Authors
- Ashtekar, A., Fairhurst, S., & Krishnan, B.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2000-10-27
- Volume
- 62
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2166949125
- Cited by
- 360
- References
- 7
- FWCI
- 9.56
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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