The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Smarr formula and an extended first law for Lovelock gravity
Open accessAbstract
We study properties of static, asymptotically AdS black holes in Lovelock gravity. Our main result is a Smarr formula that gives the mass in terms of geometrical quantities together with the parameters of the Lovelock theory. As in Einstein gravity, the Smarr formula follows from applying the first law to an infinitesimal change in the overall length scale. However, because the Lovelock couplings are dimensionful, we must first prove an extension of the first law that includes their variations. Key ingredients in this construction are the Killing–Lovelock potentials associated with each of the higher curvature Lovelock interactions. Geometric expressions are obtained for the new thermodynamic potentials conjugate to the variation of the Lovelock couplings.
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
Anti de Sitter space and holography
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n2.a2 · Cited by 13,070
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Thermodynamics of black holes in anti-de Sitter space
Hawking, S. W., & Page, D. N. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01208266 · Cited by 3,045
The Einstein Tensor and Its Generalizations
Lovelock, D. (1971) · Journal of Mathematical Physics · doi:10.1063/1.1665613 · Cited by 2,945
String-Generated Gravity Models
Boulware, D. G., & Deser, S. (1985) · Physical Review Letters · doi:10.1103/physrevlett.55.2656 · Cited by 1,583
Gauss-Bonnet black holes in AdS spaces
Cai, R.-G. (2002) · Physical Review D · doi:10.1103/physrevd.65.084014 · Cited by 948
Covariant Conservation Laws in General Relativity
Komar, A. (1959) · Physical Review · doi:10.1103/physrev.113.934 · Cited by 930
The gravitational Hamiltonian, action, entropy and surface terms
Hawking, S. W., & Horowitz, G. T. (1996) · Classical and Quantum Gravity · doi:10.1088/0264-9381/13/6/017 · Cited by 704
A note on thermodynamics of black holes in Lovelock gravity
Cai, R.-G. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.01.015 · Cited by 268
Gravitational instability of Einstein–Gauss–Bonnet black holes under tensor mode perturbations
Dotti, G., & Gleiser, R. J. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/1/l01 · Cited by 116
Cited by
Black hole chemistry: thermodynamics with Lambda
Kubizňák, D., Mann, R. B., & Teo, M. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aa5c69 · Cited by 847
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics
Frassino, A. M., Kubizňák, D., Mann, R. B., & Simovic, F. (2014) · Journal of High Energy Physics · doi:10.1007/jhep09(2014)080 · Cited by 347
Metadata
- Authors
- Kastor, D., Ray, S., & Traschen, J.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2010-11-12
- Volume
- 27
- Issue
- 23
- Pages
- 235014
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2110391948
- Cited by
- 259
- References
- 10
- FWCI
- 2.62
- 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: Smarr formula and an extended first law for Lovelock gravity. https://app.cochat.ai/papers/10.1088/0264-9381/27/23/235014
- The paper
- Kastor, D., Ray, S., & Traschen, J. (2010). Smarr formula and an extended first law for Lovelock gravity. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/27/23/235014
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.
