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Reversible and Irreversible Transformations in Black-Hole Physics
Abstract
The concepts of irreducible mass and of reversible and irreversible transformations in black holes are introduced, leading to the formula ${E}^{2}=m_{\mathrm{ir}}^{2}+(\frac{{L}^{2}}{4m_{\mathrm{ir}}^{2}})+{p}^{2}$ for a black hole of linear momentum $p$ and angular momentum $L$.
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Citations
Cited by
Bekenstein, J. D. (1973) · Physical Review D · doi:10.1103/physrevd.7.2333 · Cited by 7,555
The four laws of black hole mechanics
Bardeen, J. M., Carter, B., & Hawking, S. W. (1973) · Communications in Mathematical Physics · doi:10.1007/bf01645742 · Cited by 3,932
Microscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · Physics Letters B · doi:10.1016/0370-2693(96)00345-0 · Cited by 3,072
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
Generalized second law of thermodynamics in black-hole physics
Bekenstein, J. D. (1974) · Physical Review D · doi:10.1103/physrevd.9.3292 · Cited by 2,166
Black holes in higher dimensional space-times
Myers, R. C., & Perry, M. J. (1986) · Annals of Physics · doi:10.1016/0003-4916(86)90186-7 · Cited by 2,125
Arvanitaki, A., Dimopoulos, S., Dubovsky, S., Kaloper, N., & March-Russell, J. (2010) · Physical Review D · doi:10.1103/physrevd.81.123530 · Cited by 1,941
Black holes in general relativity
Hawking, S. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01877517 · Cited by 1,561
Black holes and the second law
Bekenstein, J. D. (1972) · Lettere Al Nuovo Cimento Series 2 · doi:10.1007/bf02757029 · Cited by 1,485
Bohr's Correspondence Principle and the Area Spectrum of Quantum Black Holes
Hod, S. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.4293 · Cited by 729
Floating Orbits, Superradiant Scattering and the Black-hole Bomb
PRESS, W. H., & TEUKOLSKY, S. A. (1972) · Nature · doi:10.1038/238211a0 · Cited by 729
The entropy of Hawking radiation
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E., & Tajdini, A. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.035002 · Cited by 706
“It was noticed in the 1970s that the resulting small changes in the black hole geometry are constrained by equations closely parallel to the laws of thermodynamics [1, 2, 36–42].”
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686
Black Hole Entropy from Loop Quantum Gravity
Rovelli, C. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.3288 · Cited by 660
The first law of thermodynamics for Kerr–anti-de Sitter black holes
Gibbons, G. W., Perry, M. J., & Pope, C. N. (2005) · Classical and Quantum Gravity · doi:10.1088/0264-9381/22/9/002 · Cited by 428
Hod, S. (1998) · Physical Review D · doi:10.1103/physrevd.59.024014 · Cited by 70
Quantum mechanics of a black hole
Gour, G. (2000) · Physical Review D · doi:10.1103/physrevd.61.124007 · Cited by 20
String Theory, Gravity and Experiment
Damour, T., & Lilley, M. (2008) · Les Houches · doi:10.1016/s0924-8099(08)80027-3 · Cited by 35
Metadata
- Authors
- Christodoulou, D.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1970-11-30
- Volume
- 25
- Issue
- 22
- Pages
- 1596-1597
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1975139933
- Cited by
- 703
- References
- 0
- FWCI
- 9.51
- Type
- journal article
- Language
- en
- Open access
- closed
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