The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
The thermodynamic theory of black holes
Abstract
The thermodynamic theory underlying black hole processes is developed in detail and applied to model systems. I t is found that Kerr-Newman black holes undergo a phase transition at a = 0.68M or Q = 0.86M, where the heat capacity has an infinite discontinuity. Above the transition values the specific heat is positive, permitting isothermal equilibrium with a surrounding heat bath. Simple processes and stability criteria for various black hole situations are investigated. The limits for entropieally favoured black hole formation are found. The Nernst conditions for the third law of thermodynamics are not satisfied fully for black holes. There is no obvious thermodynamic reason why a black hole may not be cooled down below absolute zero and converted into a naked singularity. Quantum energy-momentum tensor calculations for uncharged black holes are extended to the Reissner-Nordstrom case, and found to be fully consistent with the thermodynamic picture for Q < M. For Q > M the model predicts that ‘naked’ collapse also produces radiation, with such intensity that the collapsing matter is entirely evaporated away before a naked singularity can form.
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Citations
Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Black Holes in the Early Universe
Carr, B. J., & Hawking, S. W. (1974) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/168.2.399 · Cited by 1,827
Black holes and thermodynamics
Hawking, S. W. (1976) · Physical Review D · doi:10.1103/physrevd.13.191 · Cited by 1,307
A Numerical Study of the Stability of Flattened Galaxies: or, can Cold Galaxies Survive?
Ostriker, J. P., & Peebles, P. J. E. (1973) · The Astrophysical Journal · doi:10.1086/152513 · Cited by 971
Mass Formula for Kerr Black Holes
Smarr, L. (1973) · Physical Review Letters · doi:10.1103/physrevlett.30.71 · Cited by 598
Reversible Transformations of a Charged Black Hole
Christodoulou, D., & Ruffini, R. (1971) · Physical Review D · doi:10.1103/physrevd.4.3552 · Cited by 486
Vacuum polarization and the spontaneous loss of charge by black holes
Gibbons, G. W. (1975) · Communications in Mathematical Physics · doi:10.1007/bf01609829 · Cited by 446
Energy-momentum tensor near an evaporating black hole
Davies, P. C. W., Fulling, S. A., & Unruh, W. G. (1976) · Physical Review D · doi:10.1103/physrevd.13.2720 · Cited by 389
Self-citationStatistical black-hole thermodynamics
Bekenstein, J. D. (1975) · Physical Review D · doi:10.1103/physrevd.12.3077 · Cited by 288
Second quantization in the Kerr metric
Unruh, W. G. (1974) · Physical Review D · doi:10.1103/physrevd.10.3194 · Cited by 275
Cited by
Quasinormal modes of black holes and black branes
Berti, E., Cardoso, V., & Starinets, A. O. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/16/163001 · Cited by 2,095
Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
Caldarelli, M. M., Cognola, G., & Klemm, D. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/2/310 · Cited by 822
Phases of R-charged black holes, spinning branes and strongly coupled gauge theories
Cvetic, M., & Gubser, S. S. (1999) · Journal of High Energy Physics · doi:10.1088/1126-6708/1999/04/024 · Cited by 522
Davies, P. C. W. (1978) · Reports on Progress in Physics · doi:10.1088/0034-4885/41/8/004 · Cited by 388
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
Metadata
- Authors
- Davies, P. C. W.
- Venue
- Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- Publisher
- The Royal Society
- Published
- 1977-04-21
- Volume
- 353
- Issue
- 1675
- Pages
- 499-521
- ISSN
- 0080-4630 (ISSN-L)
- 2053-9169
- OpenAlex
- W2131846861
- Cited by
- 447
- References
- 15
- FWCI
- 2.87
- Type
- journal article
- Language
- en
- Open access
- closed
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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.