The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.
Mechanics of isolated horizons
Open accessAbstract
A set of boundary conditions defining an undistorted, non-rotating isolated horizon are specified in general relativity. A spacetime representing a black hole which is itself in equilibrium but whose exterior contains radiation admits such a horizon. However, the definition is applicable in a more general context, such as cosmological horizons. Physically motivated, (quasi-)local definitions of the mass and surface gravity of an isolated horizon are introduced and their properties analysed. Although their definitions do not refer to infinity, these quantities assume their standard values in the static black-hole solutions. Finally, using these definitions, the zeroth and first laws of black-hole mechanics are established for isolated horizons.
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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 similarity between the laws of black hole mechanics and those of ordinary thermodynamics is one of the most remarkable results to emerge from classical general relativity [1, 2, 3, 4].”
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
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
Bondi, H., Van der Burg, M. G. J., & Metzner, A. W. K. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0161 · Cited by 2,426
New Variables for Classical and Quantum Gravity
Ashtekar, A. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.2244 · Cited by 1,663
Self-citationNew Hamiltonian formulation of general relativity
Ashtekar, A. (1987) · Physical Review D · doi:10.1103/physrevd.36.1587 · Cited by 1,119
Self-citationQuantum 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 3×
“In the description of the quantum geometry of the horizon and the entropy calculation [6, 8], on the other hand, this term turns out to be crucial.”
BackgroundInfluentialSelf-citationSpatial infinity as a boundary of spacetime
Ashtekar, A., & Romano, J. D. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/4/019 · Cited by 175
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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
Dynamical horizons and their properties
Ashtekar, A., & Krishnan, B. (2003) · Physical Review D · doi:10.1103/physrevd.68.104030 · Cited by 386
Self-citationGeneric Isolated Horizons and Their Applications
Ashtekar, A., Beetle, C., Dreyer, O., Fairhurst, S., Krishnan, B., Lewandowski, J., & Wiśniewski, J. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.3564 · Cited by 276
Self-citationGeneralized quantum gravity condensates for homogeneous geometries and cosmology
Oriti, D., Pranzetti, D., Ryan, J. P., & Sindoni, L. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/23/235016 · Cited by 48
Metadata
- Authors
- Ashtekar, A., Beetle, C., & Fairhurst, S.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1999-12-21
- Volume
- 17
- Issue
- 2
- Pages
- 253-298
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2003566906
- Cited by
- 215
- References
- 7
- FWCI
- 9.00
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
