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Conserved Energy Flux for the Spherically Symmetric System and the Backreaction Problem in the Black Hole Evaporation
Abstract
For the spherically symmetric system, we prove the existence o{ a new locally cotEen·ecl flux which can be interpreted to represent the total energy flux of matter and gravitational field. ·with the aid of this conservation law, we study the relation between the behavior of the event horizon and the energy flux across it and look for constraints imposed on the total energy radiated to infinity. Some implications of the results of this study to the backreaction problem in the black hole evaporation are discussed.
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Citations
Cited by
Unified first law of black-hole dynamics and relativistic thermodynamics
Hayward, S. A. (1998) · Classical and Quantum Gravity · doi:10.1088/0264-9381/15/10/017 · Cited by 615
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
Szabados, L. B. (2009) · Living Reviews in Relativity · doi:10.12942/lrr-2009-4 · Cited by 351
Black hole formation in the Friedmann universe: Formulation and computation in numerical relativity
Shibata, M., & Sasaki, M. (1999) · Physical Review D · doi:10.1103/physrevd.60.084002 · Cited by 350
Generalized Misner-Sharp quasilocal mass in Einstein-Gauss-Bonnet gravity
Maeda, H., & Nozawa, M. (2008) · Physical Review D · doi:10.1103/physrevd.77.064031 · Cited by 155
Charge conservation, entropy current and gravitation
Aoki, S., Onogi, T., & Yokoyama, S. (2021) · International Journal of Modern Physics A · doi:10.1142/s0217751x21502018 · Cited by 21
Metadata
- Authors
- Kodama, H.
- Venue
- Progress of Theoretical Physics
- Publisher
- Oxford University Press (OUP)
- Published
- 1980-04-01
- Volume
- 63
- Issue
- 4
- Pages
- 1217-1228
- ISSN
- 0033-068X (ISSN-L)
- 1347-4081
- OpenAlex
- W2160245112
- Cited by
- 311
- References
- 0
- FWCI
- 0.63
- Type
- journal article
- Language
- en
- Open access
- closed
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- Kodama, H. (1980). Conserved Energy Flux for the Spherically Symmetric System and the Backreaction Problem in the Black Hole Evaporation. Progress of Theoretical Physics. https://doi.org/10.1143/ptp.63.1217
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