The DOI matches its Crossref record; 39 of the 39 references it cites were found in a registry or an index.
Entropy from conformal field theory at Killing horizons
Open accessAbstract
On a manifold with a boundary, the constraint algebra of general relativity may acquire a central extension, which can be computed using covariant phase space techniques. When the boundary is a (local) Killing horizon, a natural set of boundary conditions leads to a Virasoro subalgebra with a calculable central charge. Conformal field theory methods may then be used to determine the density of states at the boundary. I consider a number of cases - black holes, Rindler space, de Sitter space, Taub-NUT and Taub-bolt spaces and dilaton gravity - and show that the resulting density of states yields the expected Bekenstein-Hawking entropy. The statistical mechanics of black hole entropy may thus be fixed by symmetry arguments, independent of the details of quantum gravity.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Mathematical Methods of Classical Mechanics
Arnold, V. I. (1989) · Graduate Texts in Mathematics · doi:10.1007/978-1-4757-2063-1 · Cited by 9,116
Wald, R. M. (1984) · Cited by 6,274
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
Black hole entropy is the Noether charge
Wald, R. M. (1993) · Physical Review D · doi:10.1103/physrevd.48.r3427 · Cited by 2,496
Black holes in higher dimensional space-times
Myers, R. C., & Perry, M. J. (1986) · Annals of Physics · doi:10.1016/0003-4916(86)90186-7 · Cited by 2,125
(2024) · Physics Subject Headings (PhySH) · doi:10.29172/b59fbf99-aaba-4b28-b58a-6104444592fb · Cited by 2,007
Operator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
Some properties of the Noether charge and a proposal for dynamical black hole entropy
Iyer, V., & Wald, R. M. (1994) · Physical Review D · doi:10.1103/physrevd.50.846 · Cited by 1,736
Conformal invariance, the central charge, and universal finite-size amplitudes at criticality
Blöte, H. W. J., Cardy, J. L., & Nightingale, M. P. (1986) · Physical Review Letters · doi:10.1103/physrevlett.56.742 · Cited by 1,546
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
Thermodynamical aspects of gravity: new insights
Padmanabhan, T. (2010) · Reports on Progress in Physics · doi:10.1088/0034-4885/73/4/046901 · Cited by 904
The Thermodynamics of Black Holes
Wald, R. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-6 · Cited by 758
Logarithmic Correction to the Bekenstein-Hawking Entropy
Kaul, R. K., & Majumdar, P. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5255 · Cited by 655
Quantum gravity: a progress report
Carlip, S. (2001) · Reports on Progress in Physics · doi:10.1088/0034-4885/64/8/301 · Cited by 449
Self-citation
Metadata
- Authors
- Carlip, S.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1999-09-20
- Volume
- 16
- Issue
- 10
- Pages
- 3327-3348
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2115693086
- Cited by
- 347
- References
- 39
- FWCI
- 14.68
- Type
- journal article
- Language
- en
- Open access
- bronze
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Entropy from conformal field theory at Killing horizons. https://app.cochat.ai/papers/10.1088/0264-9381/16/10/322
- The paper
- Carlip, S. (1999). Entropy from conformal field theory at Killing horizons. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/16/10/322
Data sources
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.
