The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Formation and Evaporation of Nonsingular Black Holes
Open accessAbstract
Regular (nonsingular) space-times are given that describe the formation of a (locally defined) black hole from an initial vacuum region, its quiescence as a static region, and its subsequent evaporation to a vacuum region. The static region is Bardeen-like, supported by finite density and pressures, vanishing rapidly at large radius and behaving as a cosmological constant at small radius. The dynamic regions are Vaidya-like, with ingoing radiation of positive-energy flux during collapse and negative-energy flux during evaporation, the latter balanced by outgoing radiation of positive-energy flux and a surface pressure at a pair creation surface. The black hole consists of a compact space-time region of trapped surfaces, with inner and outer boundaries that join circularly as a single smooth trapping horizon.
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Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106
Gravitational Collapse and Space-Time Singularities
Penrose, R. (1965) · Physical Review Letters · doi:10.1103/physrevlett.14.57 · Cited by 2,977
Breakdown of predictability in gravitational collapse
Hawking, S. W. (1976) · Physical Review D · doi:10.1103/physrevd.14.2460 · Cited by 2,554
The singularities of gravitational collapse and cosmology
Hawking, S. W., & Penrose, R. (1970) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1970.0021 · Cited by 2,100
Black holes as possible sources of closed and semiclosed worlds
Frolov, V. P., Markov, M. A., & Mukhanov, V. F. (1990) · Physical Review D · doi:10.1103/physrevd.41.383 · Cited by 322
Research works printed but not linked: 35
- S. W. Hawking, 1967, Proc. R. Soc. A, 300, 182
- 10.1088/0264-9381/22/16/014 · DOI · Paper page
- 10.1007/BF00760226 · DOI · Paper page
- 10.1142/S0218271896000333 · DOI
- 10.1088/0264-9381/19/4/306 · DOI · Paper page
- 10.1142/S021827180300358X · DOI · Paper page
- 10.1088/0264-9381/13/5/003 · DOI
- 10.1103/PhysRevD.55.7615 · DOI · Paper page
- 10.1103/PhysRevLett.80.5056 · DOI · Paper page
- 10.1103/PhysRevD.72.024016 · DOI
- 10.1103/PhysRevD.49.6467 · DOI · Paper page
- 10.1088/0264-9381/15/10/017 · DOI · Paper page
- 10.1103/PhysRevD.70.104027 · DOI
- 10.1103/PhysRevLett.93.251101 · DOI
- 10.1103/PhysRevLett.89.261101 · DOI · Paper page
- 10.1103/PhysRevD.68.104030 · DOI · Paper page
- P. C. Vaidya, 1951, Proc. Indian Acad. Sci. A, 33, 264, 10.1007/BF03173260 · DOI · Paper page
- 10.1063/1.1665393 · doi:10.1063/1.1665393
- 10.1088/0264-9381/11/2/008 · DOI
- A. D. Sakharov, 1966, Sov. Phys. JETP, 22, 241
- E. B. Gliner, 1966, Sov. Phys. JETP, 22, 378
- M. A. Markov, 1982, JETP Lett., 36, 265
- 10.1103/PhysRevLett.68.1969 · DOI · Paper page
- 10.1103/PhysRevD.48.1629 · DOI · Paper page
- 10.1088/0264-9381/5/12/002 · DOI · Paper page
- 10.1103/PhysRevD.41.395 · DOI
- 10.1103/PhysRevD.23.2813 · DOI
- 10.1103/PhysRevD.23.2823 · DOI
- W. Israel, 1966, Nuovo Cimento B, 44, 1, 10.1007/BF02710419 · DOI · Paper page
- W. Israel, 1967, Nuovo Cimento B, 49, 463, 10.1007/BF02712210 · DOI · Paper page
- 10.1103/PhysRev.56.455 · DOI · Paper page
- 10.1103/PhysRevLett.95.111102 · DOI · Paper page
- 10.1016/0370-2693(81)90542-6 · DOI · Paper page
- 10.1103/PhysRevD.28.1265 · DOI
- 10.1103/PhysRevLett.95.091302 · DOI
Cited by
First Sagittarius A* Event Horizon Telescope Results. VI. Testing the Black Hole Metric
Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Algaba, J. C., Anantua, R., Asada, K., Azulay, R., Bach, U., Baczko, A.-K., et al. (2022) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ac6756 · Cited by 668
Notes on nonsingular models of black holes
Frolov, V. P. (2016) · Physical Review D · doi:10.1103/physrevd.94.104056 · Cited by 361
Dynamical Formation of Regular Black Holes
Bueno, P., Cano, P. A., Hennigar, R. A., & Murcia, Á. J. (2025) · Physical Review Letters · doi:10.1103/physrevlett.134.181401 · Cited by 60
Thermality of the Hawking flux
Visser, M. (2015) · Journal of High Energy Physics · doi:10.1007/jhep07(2015)009 · Cited by 41
Sifting quantum black holes through the principle of least action
Knorr, B., & Platania, A. (2022) · Physical Review D · doi:10.1103/physrevd.106.l021901 · Cited by 41
Metadata
- Authors
- Hayward, S. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-01-26
- Volume
- 96
- Issue
- 3
- Pages
- 031103-031103
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1987560961
- Cited by
- 1,420
- References
- 5
- FWCI
- 5.64
- Type
- journal article
- Language
- en
- Open access
- green
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