The DOI matches its Crossref record; 77 of the 77 references it cites were found in a registry or an index.
Quantum geometry of isolated horizons and black hole entropy
Open accessAbstract
Using the classical Hamiltonian framework of [1] as the point of departure, we carry out a non-perturbative quantization of the sector of general relativity, coupled to matter, admitting non-rotating isolated horizons as inner boundaries.The emphasis is on the quantum geometry of the horizon.Polymer excitations of the bulk quantum geometry pierce the horizon endowing it with area.The intrinsic geometry of the horizon is then described by the quantum Chern-Simons theory of a U(l) connection on a punctured 2-sphere, the horizon.Subtle mathematical features of the quantum Chern-Simons theory turn out to be important for the existence of a coherent quantum theory of the horizon geometry.Heuristically, the intrinsic geometry is flat everywhere except at the punctures.The distributional curvature of the U(l) connection at the punctures gives rise to quantized deficit angles which account for the overall curvature.For macroscopic black holes, the logarithm of the number of these horizon microstates is proportional to the area, irrespective of the values of (non-gravitational) charges.Thus, the black hole entropy can be accounted for entirely by the quantum states of the horizon geometry.Our analysis is applicable to all nonrotating black holes, including the astrophysically interesting ones which are very far from extremality.Furthermore, cosmological horizons (to which statistical mechanical considerations are known to apply) are naturally incorporated.An effort has been made to make the paper self-contained by including short reviews of the background material.
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Cited by
Sorted by citations
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-citationThermodynamical aspects of gravity: new insights
Padmanabhan, Τ. (2010) · Reports on Progress in Physics · doi:10.1088/0034-4885/73/4/046901 · Cited by 1,213
Isolated and Dynamical Horizons and Their Applications
Ashtekar, A., & Krishnan, B. (2004) · Living Reviews in Relativity · doi:10.12942/lrr-2004-10 · Cited by 897
Self-citationMathematical structure of loop quantum cosmology
Ashtekar, A., Bojowald, M., & Lewandowski, J. (2003) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.2003.v7.n2.a2 · Cited by 762
Self-citationBojowald, M. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-11 · Cited by 723
Metadata
- Authors
- Ashtekar, A., Baez, J. C., & Krasnov, K.
- Affiliations
- Pennsylvania State University (US)
- University of California, Riverside (US)
- Venue
- Advances in Theoretical and Mathematical Physics
- Publisher
- International Press of Boston
- Published
- 2000
- Volume
- 4
- Issue
- 1
- Pages
- 1-94
- ISSN
- 1095-0753 (ISSN-L)
- 1095-0761
- OpenAlex
- W2150054850
- Semantic Scholar
- 0aadaa53f13c4b760fd2b2cc502e438445037ac3
- Cited by
- 580
- References
- 70
- Citations by year
- 2026: 9 · 2025: 29 · 2024: 11 · 2023: 8 · 2022: 7 · 2021: 16 · 2020: 8 · 2019: 11 · 2018: 20 · 2017: 23 · 2016: 26 · 2015: 22 · 2014: 32 · 2013: 23 · 2012: 23
- FWCI
- 16.46
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Advances in Theoretical and Mathematical Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (9722514, 9407194, 9514240)
- University of Pennsylvania
- Pennsylvania State University
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- isolated horizons, black hole entropy, quantum geometry, Chern-Simons theory, polymer quantization, non-rotating black holes, deficit angle, cosmological horizon, non-perturbative quantization
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