Killing horizons: Negative temperatures and entropy super-additivity
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1482419
- Grant/Contract Number:
- de-sc0013528; FG02-13ER42020
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
Citation Formats
Cvetič, M., Gibbons, G. W., Lü, H., and Pope, C. N. Killing horizons: Negative temperatures and entropy super-additivity. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.106015.
Cvetič, M., Gibbons, G. W., Lü, H., & Pope, C. N. Killing horizons: Negative temperatures and entropy super-additivity. United States. doi:https://doi.org/10.1103/PhysRevD.98.106015
Cvetič, M., Gibbons, G. W., Lü, H., and Pope, C. N. Fri .
"Killing horizons: Negative temperatures and entropy super-additivity". United States. doi:https://doi.org/10.1103/PhysRevD.98.106015.
@article{osti_1482419,
title = {Killing horizons: Negative temperatures and entropy super-additivity},
author = {Cvetič, M. and Gibbons, G. W. and Lü, H. and Pope, C. N.},
abstractNote = {},
doi = {10.1103/PhysRevD.98.106015},
journal = {Physical Review D},
number = 10,
volume = 98,
place = {United States},
year = {2018},
month = {11}
}
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DOI: https://doi.org/10.1103/PhysRevD.98.106015
DOI: https://doi.org/10.1103/PhysRevD.98.106015
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Cited by: 3 works
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Works referenced in this record:
The four laws of black hole mechanics
journal, June 1973
- Bardeen, J. M.; Carter, B.; Hawking, S. W.
- Communications in Mathematical Physics, Vol. 31, Issue 2
Thermodynamic phase transitions of Kerr-Newman black holes in de Sitter space
journal, December 1989
- Davies, P. C. W.
- Classical and Quantum Gravity, Vol. 6, Issue 12
Black holes and the second law
journal, August 1972
- Bekenstein, J. D.
- Lettere Al Nuovo Cimento Series 2, Vol. 4, Issue 15
Gravitational Radiation from Colliding Black Holes
journal, May 1971
- Hawking, S. W.
- Physical Review Letters, Vol. 26, Issue 21
Thoughts on the area Theorem
journal, July 2009
- Park, Mu-In
- International Journal of Modern Physics A, Vol. 24, Issue 16n17
Seed for general rotating non-extremal black holes of $\mathcal {N}= 8$ supergravity
journal, December 2013
- Chow, David D. K.; Compère, Geoffrey
- Classical and Quantum Gravity, Vol. 31, Issue 2
Entropies need not to be concave
journal, August 1980
- Landsberg, P. T.; Tranah, D.
- Physics Letters A, Vol. 78, Issue 3
The 'inner-horizon thermodynamics' of Kerr black holes
journal, April 1992
- Okamoto, I.; Kaburaki, O.
- Monthly Notices of the Royal Astronomical Society, Vol. 255, Issue 3
Thermodynamic Metrics and Black Hole Physics
journal, September 2015
- Åman, Jan; Bengtsson, Ingemar; Pidokrajt, Narit
- Entropy, Vol. 17, Issue 12
Cosmological event horizons, thermodynamics, and particle creation
journal, May 1977
- Gibbons, G. W.; Hawking, S. W.
- Physical Review D, Vol. 15, Issue 10
Black holes in general relativity
journal, June 1972
- Hawking, S. W.
- Communications in Mathematical Physics, Vol. 25, Issue 2
Black holes and gravitational instantons
journal, October 1989
- Mellor, F.; Moss, I.
- Classical and Quantum Gravity, Vol. 6, Issue 10
Entropy of nonextreme charged rotating black holes in string theory
journal, August 1996
- Cvetič, Mirjam; Youm, Donam
- Physical Review D, Vol. 54, Issue 4
Black hole thermodynamics with dynamical lambda
journal, October 2017
- Gregory, Ruth; Kastor, David; Traschen, Jennie
- Journal of High Energy Physics, Vol. 2017, Issue 10
New formulation of the first law of black hole thermodynamics: a stringy analogy
journal, February 2005
- Wu, Shuang-Qing
- Physics Letters B, Vol. 608, Issue 3-4
Charged black holes in string theory
journal, May 1991
- Garfinkle, David; Horowitz, Gary T.; Strominger, Andrew
- Physical Review D, Vol. 43, Issue 10
Black holes and quantum wormholes
journal, May 1989
- Mellor, Felicity; Moss, Ian
- Physics Letters B, Vol. 222, Issue 3-4
Convexity of Thermodynamic Functions and Thermodynamics of Rotating Black Holes
journal, July 1989
- Curir, A.
- Europhysics Letters (EPL), Vol. 9, Issue 6
Pair creation of black holes during inflation
journal, November 1996
- Bousso, Raphael; Hawking, Stephen W.
- Physical Review D, Vol. 54, Issue 10
A variational principle for black holes
journal, December 1973
- Hawking, S. W.
- Communications in Mathematical Physics, Vol. 33, Issue 4
Anti de Sitter space and holography
journal, January 1998
- Witten, Edward
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2
Erratum: Solitonic strings and BPS saturated dyonic black holes [Phys. Rev. D 53 , 5619 (1996)]
journal, March 1997
- Cvetič, Mirjam; Tseytlin, Arkady A.
- Physical Review D, Vol. 55, Issue 6
Solitonic strings and BPS saturated dyonic black holes
journal, May 1996
- Cvetič, Mirjam; Tseytlin, Arkady A.
- Physical Review D, Vol. 53, Issue 10
Metric geometry of equilibrium thermodynamics
journal, September 1975
- Weinhold, F.
- The Journal of Chemical Physics, Vol. 63, Issue 6
Wave equation for the Wu black hole
journal, September 2014
- Birkandan, Tolga; Cvetič, Mirjam
- Journal of High Energy Physics, Vol. 2014, Issue 9
Entropy of nonextremal STU black holes: The -invariant unveiled
journal, January 2016
- Sárosi, Gábor
- Physical Review D, Vol. 93, Issue 2
Black hole enthalpy and an entropy inequality for the thermodynamic volume
journal, July 2011
- Cvetič, M.; Gibbons, G. W.; Kubizňák, D.
- Physical Review D, Vol. 84, Issue 2
Entropic Forces in a Kerr Geometry: a Link with Rotational Properties
journal, April 2011
- Curir, A.
- Communications in Theoretical Physics, Vol. 55, Issue 4
Holographic complexity and two identities of action growth
journal, June 2017
- Huang, Hyat; Feng, Xing-Hui; Lü, H.
- Physics Letters B, Vol. 769
Effective first law of thermodynamics of black holes with two horizons
journal, February 2009
- Yi-Huan, Wei
- Chinese Physics B, Vol. 18, Issue 2
A Variational Principle for Rotating Stars in General Relativity
journal, October 1970
- Bardeen, James M.
- The Astrophysical Journal, Vol. 162
Spin entropy of a rotating black hole
journal, June 1979
- Curir, A.
- Il Nuovo Cimento B Series 11, Vol. 51, Issue 2
Charged rotating black holes in four-dimensional gauged and ungauged supergravities
journal, June 2005
- Chong, Z. -W.; Cvetič, M.; Lü, H.
- Nuclear Physics B, Vol. 717, Issue 1-2
Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry
journal, April 2015
- Mansoori, Seyed Ali Hosseini; Mirza, Behrouz; Fazel, Mohamadreza
- Journal of High Energy Physics, Vol. 2015, Issue 4
General rotating five-dimensional black holes of toroidally compactified heterotic string
journal, September 1996
- Cvetič, Mirjam; Youm, Donam
- Nuclear Physics B, Vol. 476, Issue 1-2
On Geometro-thermodynamics of Dilaton Black Holes
journal, January 2008
- Åman, J. E.; Pidokrajt, N.; Ward, J.
- EAS Publications Series, Vol. 30
Antigravitating black hole solitons with scalar hair in N=4 supergravity
journal, November 1982
- Gibbons, G. W.
- Nuclear Physics B, Vol. 207, Issue 2
Thermodynamics of Kerr-Newman-AdS black holes and conformal field theories
journal, December 1999
- Caldarelli, Marco M.; Cognola, Guido; Klemm, Dietmar
- Classical and Quantum Gravity, Vol. 17, Issue 2
Is equilibrium always an entropy maximum?
journal, April 1984
- Landsberg, P. T.
- Journal of Statistical Physics, Vol. 35, Issue 1-2
Universal Area Product Formulas for Rotating and Charged Black Holes in Four and Higher Dimensions
journal, March 2011
- Cvetič, M.; Gibbons, G. W.; Pope, C. N.
- Physical Review Letters, Vol. 106, Issue 12
Black hole thermodynamics from a variational principle: asymptotically conical backgrounds
journal, March 2016
- An, Ok Song; Cvetič, Mirjam; Papadimitriou, Ioannis
- Journal of High Energy Physics, Vol. 2016, Issue 3
Reversible and Irreversible Transformations in Black-Hole Physics
journal, November 1970
- Christodoulou, Demetrios
- Physical Review Letters, Vol. 25, Issue 22
A variational principle for stationary, axisymmetric solutions of Einstein's equations
journal, October 2006
- Dain, Sergio
- Classical and Quantum Gravity, Vol. 23, Issue 23
Universal area product for black holes: A heuristic argument
journal, August 2015
- Page, Don N.; Shoom, Andrey A.
- Physical Review D, Vol. 92, Issue 4
General rotating black holes in string theory: Greybody factors and event horizons
journal, October 1997
- Cvetič, Mirjam; Larsen, Finn
- Physical Review D, Vol. 56, Issue 8
Erratum: Charged black holes in string theory
journal, May 1992
- Garfinkle, David; Horowitz, Gary T.; Strominger, Andrew
- Physical Review D, Vol. 45, Issue 10
Black holes and critical points in moduli space
journal, September 1997
- Ferrara, Sergio; Gibbons, Gary W.; Kallosh, Renata
- Nuclear Physics B, Vol. 500, Issue 1-3
Can Hawking temperatures be negative?
journal, May 2008
- Park, Mu-In
- Physics Letters B, Vol. 663, Issue 3
Mass Formula for Kerr Black Holes
journal, March 1973
- Smarr, Larry
- Physical Review Letters, Vol. 30, Issue 11
Stability of black holes in de Sitter space
journal, January 1990
- Mellor, Felicity; Moss, Ian
- Physical Review D, Vol. 41, Issue 2
String model of black hole microstates
journal, July 1997
- Larsen, Finn
- Physical Review D, Vol. 56, Issue 2
Universal properties and the first law of black hole inner mechanics
journal, July 2012
- Castro, Alejandra; Rodriguez, Maria J.
- Physical Review D, Vol. 86, Issue 2
Path-integral derivation of black-hole radiance
journal, April 1976
- Hartle, J. B.; Hawking, S. W.
- Physical Review D, Vol. 13, Issue 8
Charged dilatonic ads black holes and magnetic AdS D−2 × R 2 vacua
journal, September 2013
- Lü, H.
- Journal of High Energy Physics, Vol. 2013, Issue 9
Rotating Kaluza–Klein black holes
journal, May 2000
- Larsen, Finn
- Nuclear Physics B, Vol. 575, Issue 1-2
Thermodynamics of exotic black holes, negative temperature, and Bekenstein–Hawking entropy
journal, April 2007
- Park, Mu-In
- Physics Letters B, Vol. 647, Issue 5-6
Journey through a black hole
journal, September 1989
- Davies, P. C. W.; Moss, I. G.
- Classical and Quantum Gravity, Vol. 6, Issue 9
Hidden conformal symmetry of the Kerr black hole
journal, July 2010
- Castro, Alejandra; Maloney, Alexander; Strominger, Andrew
- Physical Review D, Vol. 82, Issue 2
Black holes and membranes in higher-dimensional theories with dilaton fields
journal, March 1988
- Gibbons, G. W.; Maeda, Kei-ichi
- Nuclear Physics B, Vol. 298, Issue 4
Action integrals and partition functions in quantum gravity
journal, May 1977
- Gibbons, G. W.; Hawking, S. W.
- Physical Review D, Vol. 15, Issue 10
black holes and string triality
journal, November 1996
- Behrndt, Klaus; Kallosh, Renata; Rahmfeld, Joachim
- Physical Review D, Vol. 54, Issue 10
Negative modes and the thermodynamics of Reissner-Nordström black holes
journal, March 2009
- Monteiro, R.; Santos, J. E.
- Physical Review D, Vol. 79, Issue 6
Particle creation by black holes
journal, June 1976
- Hawking, S. W.
- Communications in Mathematical Physics, Vol. 46, Issue 2
Thermodynamics and Statistical Mechanics at Negative Absolute Temperatures
journal, July 1956
- Ramsey, Norman F.
- Physical Review, Vol. 103, Issue 1
Supersymmetric self-gravitating solitons
journal, April 1994
- Gibbons, G. W.; Kastor, D.; London, L. A. J.
- Nuclear Physics B, Vol. 416, Issue 3
Area products for stationary black hole horizons
journal, August 2013
- Visser, Matt
- Physical Review D, Vol. 88, Issue 4
Spin thermodynamics of a Kerr black hole
journal, August 1979
- Curir, A.; Francaviglia, M.
- Il Nuovo Cimento B Series 11, Vol. 52, Issue 2
Inflation and de Sitter thermodynamics
journal, May 2003
- Frolov, Andrei V.; Kofman, Lev
- Journal of Cosmology and Astroparticle Physics, Vol. 2003, Issue 05
Statistical Entropy of Nonextremal Four-Dimensional Black Holes and Duality
journal, July 1996
- Horowitz, Gary T.; Lowe, David A.; Maldacena, Juan M.
- Physical Review Letters, Vol. 77, Issue 3
Greybody factors for rotating black holes in four dimensions
journal, November 1997
- Cvetič, Mirjam; Larsen, Finn
- Nuclear Physics B, Vol. 506, Issue 1-2
Negative specific heat in astronomy, physics and chemistry
journal, February 1999
- Lynden-Bell, D.
- Physica A: Statistical Mechanics and its Applications, Vol. 263, Issue 1-4
Mass Formula for Kerr Black Holes
journal, January 1973
- Smarr, Larry
- Physical Review Letters, Vol. 30, Issue 2
Thermodynamics of black holes in anti-de Sitter space
journal, December 1983
- Hawking, S. W.; Page, Don N.
- Communications in Mathematical Physics, Vol. 87, Issue 4
Dynamic and thermodynamic stability and negative modes in Schwarzschild–anti-de Sitter black holes
journal, March 2000
- Prestidge, Tim
- Physical Review D, Vol. 61, Issue 8
Thermodynamic volumes and isoperimetric inequalities for de Sitter black holes
journal, May 2013
- Dolan, Brian P.; Kastor, David; Kubizňák, David
- Physical Review D, Vol. 87, Issue 10
Thermodynamic paradoxes
journal, January 1977
- Page, Don N.; Weinhold, Frank; Moore, Richard L.
- Physics Today, Vol. 30, Issue 1
A bogomolny bound for general relativity and solitons in N=2 supergravity
journal, February 1982
- Gibbons, G. W.; Hull, C. M.
- Physics Letters B, Vol. 109, Issue 3
The Thermodynamic Theory of Black Holes
journal, April 1977
- Davies, P. C. W.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 353, Issue 1675
Particle creation by black holes
journal, August 1975
- Hawking, S. W.
- Communications In Mathematical Physics, Vol. 43, Issue 3
Reversible Transformations of a Charged Black Hole
journal, December 1971
- Christodoulou, Demetrios; Ruffini, Remo
- Physical Review D, Vol. 4, Issue 12
Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
journal, December 1996
- Gibbons, Gary; Kallosh, Renata; Kol, Barak
- Physical Review Letters, Vol. 77, Issue 25
Enthalpy and the mechanics of AdS black holes
journal, September 2009
- Kastor, David; Ray, Sourya; Traschen, Jennie
- Classical and Quantum Gravity, Vol. 26, Issue 19
On the generalized second law for rotating black holes
journal, August 1986
- Curir, A.
- Physics Letters B, Vol. 176, Issue 1-2
AdS dyonic black hole and its thermodynamics
journal, November 2013
- Lü, H.; Pang, Yi; Pope, C. N.
- Journal of High Energy Physics, Vol. 2013, Issue 11
Entropy-product rules for charged rotating black holes
journal, August 2013
- Cvetič, M.; Lü, H.; Pope, C. N.
- Physical Review D, Vol. 88, Issue 4
On the energy emission by a Kerr black hole in the superradiant range
journal, October 1985
- Curir, A.
- Physics Letters B, Vol. 161, Issue 4-6
Thermodynamical metrics and black hole phase transitions
journal, December 2010
- Liu, Haishan; Lü, H.; Luo, Mingxing
- Journal of High Energy Physics, Vol. 2010, Issue 12