The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Dynamical horizons and their properties
Open accessAbstract
A detailed description of how black holes grow in full, nonlinear general relativity is presented. The starting point is the notion of dynamical horizons. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons are obtained. Fluxes are local and the energy flux is positive. A change in the horizon area is related to these fluxes. A notion of angular momentum and energy is associated with cross sections of the horizon and balance equations, analogous to those obtained by Bondi and Sachs at null infinity, are derived. These in turn lead to generalizations of the first and second laws of black hole mechanics. The relation between dynamical horizons and their asymptotic states---the isolated horizons---is discussed briefly. The framework has potential applications to numerical, mathematical, astrophysical and quantum general relativity.
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Cites
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
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
A new proof of the positive energy theorem
Witten, E. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208277 · Cited by 1,595
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
Self-citationQuantum 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-citation
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-citationA Covariant Holographic Entanglement Entropy Proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · arXiv · doi:10.48550/arxiv.0705.0016 · Cited by 1,822
“A dynamical horizon is defined to be a smooth, co-dimension one spacelike submanifold of the spacetime, which can be foliated by a family of closed spacelike surfaces, such that the leaves of the foliation have one null expansion vanishing and the other null expansion being strictly negative [55, 47] as in (6.”
ResultA covariant holographic entanglement entropy proposal
Hubeny, V. E., Rangamani, M., & Takayanagi, T. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/07/062 · Cited by 1,822
“A dynamical horizon is defined to be a smooth, co-dimension one spacelike submanifold of the spacetime, which can be foliated by a family of closed spacelike surfaces, such that the leaves of the foliation have one null expansion vanishing and the other null expansion being strictly negative [55, 47] as in (6.”
ResultQuasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
Metadata
- Authors
- Ashtekar, A., & Krishnan, B.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-11-26
- Volume
- 68
- Issue
- 10
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2033517606
- Cited by
- 386
- References
- 5
- FWCI
- 11.32
- Type
- journal article
- Language
- en
- Open access
- green
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