The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Action Principle and Partition Function for the Gravitational Field in Black-Hole Topologies
Abstract
Statistical mechanics of gravitational fields describing the black-hole topological sector, and the correspondence to thermodynamics, are considered. The Euclidean action is evaluated on the constraint hypersurface and a measure is obtained, resulting in a path-integral form of the canonical partition function. We obtain the usual black-hole entropy plus quantum corrections when the temperature and size of the system are appropriate. Under other conditions, we give evidence for the existence of a phase transition (change of topology).
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
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Role of Conformal Three-Geometry in the Dynamics of Gravitation
York, J. W. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.1082 · Cited by 1,392
Self-citation
Cited by
Quasilocal energy and conserved charges derived from the gravitational action
Brown, J. D., & York, J. W. (1993) · Physical Review D · doi:10.1103/physrevd.47.1407 · Cited by 1,793
Self-citationThermodynamics of(3+1)-dimensional black holes with toroidal or higher genus horizons
Brill, D. R., Louko, J., & Peldán, P. (1997) · Physical Review D · doi:10.1103/physrevd.56.3600 · Cited by 329
Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
Svesko, A., Verheijden, E., Verlinde, E. P., & Visser, M. R. (2022) · Journal of High Energy Physics · doi:10.1007/jhep08(2022)075 · Cited by 77
Probing black hole microstructure with the kinetic turnover of phase transition
Li, R., Zhang, K., & Wang, J. (2021) · Physical Review D · doi:10.1103/physrevd.104.084076 · Cited by 27
Metadata
- Authors
- Whiting, B. F., & York, J. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1988-09-19
- Volume
- 61
- Issue
- 12
- Pages
- 1336-1339
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2066644114
- Cited by
- 199
- References
- 2
- FWCI
- 6.16
- Type
- journal article
- Language
- en
- Open access
- closed
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: Action Principle and Partition Function for the Gravitational Field in Black-Hole Topologies. https://app.cochat.ai/papers/10.1103/physrevlett.61.1336
- The paper
- Whiting, B. F., & York, J. W. (1988). Action Principle and Partition Function for the Gravitational Field in Black-Hole Topologies. Physical Review Letters. https://doi.org/10.1103/physrevlett.61.1336
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.
