Fetching the paper…
Reading the bibliography…
In this paper we discuss a formulation of extended phase space thermodynamics of black holes in Anti de Sitter (AdS) spacetimes from the contact geometry point of view.
1906
Earlier work this paper cites.
1909
Earlier work this paper cites.
J. Gibbs, Thermodynamics, Vol. 1, Yale University Press, New Haven, 1948
1948
Earlier work this paper cites.
J.A. Schouten, On the differential operators of first order in tensor calculus
1953
Earlier work this paper cites.
J. M. Bardeen, B. Carter and S. W. Hawking, “The Four laws of black hole mechanics,” Commun. Math. Phys. 31
1973
Earlier work this paper cites.
Black holes and entropy
Jacob D. Bekenstein · 1973
Earlier work this paper cites.
R. Hermann, Geometry, physics, and systems, M. Dekker Publisher, 1973
1973
Earlier work this paper cites.
L. Smarr, “Mass formula for Kerr black holes,” Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
Generalized second law of thermodynamics in black-hole physics
Jacob D. Bekenstein · 1974
Earlier work this paper cites.
Weinhold, F.. 1975. Metric geometry of equilibrium thermodynamics. J.Chem.Phys.,63,2479 1975. Erratum:. J.Chem.Phys.,63,2484
1975
Earlier work this paper cites.
S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43
1976
Earlier work this paper cites.
S. W. Hawking, “Black Holes and Thermodynamics,” Phys. Rev. D 13
1976
Earlier work this paper cites.
C. Carathéodory, Math. Ann. 67 (1909) 355–386. Translated by J. Kestin, Investigations into the foundations of thermodynamics, in J.Kestin, The Second law of thermodynamics, Volume 5 of Benchmark papers on energy, Dowden, Hutchinson & Ross, 1976
1976
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Earlier work this paper cites.
Ingarden, R.S.. 1978. Information thermodynamics and differential geometry. Tensor N.S.,33,347
1978
Earlier work this paper cites.
M.J. Peterson, Analogy between thermodynamics and mechanics, Am. J. Phys. 47 (1979) 488–490
1979
Earlier work this paper cites.
Ruppeiner, G.. 1979. Thermodynamics: a Riemannian geometric model. Phys.Rev.,A20,1608
1979
Earlier work this paper cites.
Ruppeiner, G.. 1981. Application of Riemannian geometry to the thermodynamics of a simple fluctuation magnetic system. Phys.Rev.,A24,488
1981
Earlier work this paper cites.
S. W. Hawking and D. N. Page, “Thermodynamics of Black Holes in anti-De Sitter Space,” Commun. Math. Phys. 87
1983
Earlier work this paper cites.
P. Salamon, R.S. Berry, Thermodynamic length and dissipated availability, Phys. Rev. Lett. 51 (1983) 1127–1130
1983
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “The Cosmological Constant as a Canonical Variable,” Phys.Lett
1984
Earlier work this paper cites.
C. Teitelboim, “The Cosmological Constant as a Thermodynamic Black Hole Parameter,” Phys.Lett
1985
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, “The Cosmological Constant and General Covariance,” Phys.Lett
1989
Earlier work this paper cites.
H. Janyszek and R. Mrugala, “Riemannian geometry and the thermodynamics of model magnetic systems,” Phys. Rev. A 39
1989
Earlier work this paper cites.
Arnold, V. I., Mathematical Methods of Classical Mechanics,
1989
Earlier work this paper cites.
R. Mrugala, J.D. Nulton, J.C. Schon, P. Salamon, Statistical approach to the geometric structure of thermodynamics, Phys. Rev. A 41 (1990) 3156–3160
1990
Cited alongside, same era.
Janyszek, H.. 1990. Riemannian geometry and stability of thermodynamical equilibrium system. J.Phys.,A23,477
1990
Cited alongside, same era.
Janyszek, H.. 1990. geometry and stability of ideal quantum gases. J.Phys.,A23,467
1990
Cited alongside, same era.
Arnold, V. I., Singularities of Caustics and Wave Fronts
1990
Cited alongside, same era.
Mrugala, R.; Nulton, J.D.; Schon, J.C.; Salamon, P., Contact structure in thermodynamic theory
1991
Cited alongside, same era.
M. Banados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time,” Phys. Rev. Lett. 69
S. G. Rajeev, Quantization of Contact Manifolds and Thermodynamics ,
2008
Later among the works it cites.
2009
Later among the works it cites.
B. P. Dolan, “The cosmological constant and the black hole equation of state,” Class.Quant.Grav
2011
Later among the works it cites.
2011
Later among the works it cites.
B. P. Dolan, “Compressibility of rotating black holes,” Phys.Rev
2011
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1992
Cited alongside, same era.
R. Mrugala, Continuous contact transformations in thermodynamics, Rep. Math. Phys. 33 (1993) 149–154
1993
Cited alongside, same era.
G. Ruppeiner, “Riemannian geometry in thermodynamic fluctuation theory,” Rev. Mod. Phys. 67
1996
Cited alongside, same era.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Int. J. Theor. Phys. 38
1998
Cited alongside, same era.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys. Lett. B 428
1998
Cited alongside, same era.
E. Witten, “Anti-de Sitter space and holography,” Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys. 2
1998
Cited alongside, same era.
Later among the works it cites.
B. P. Dolan, “Pressure and volume in the first law of black hole thermodynamics,” Class.Quant.Grav
2011
Later among the works it cites.
D. Kubiznak and R. B. Mann, “P-V criticality of charged AdS black holes,” JHEP 1207
2012
Later among the works it cites.
2012
Later among the works it cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, “Geometry of the (2+1) black hole,” Phys. Rev. D 48
2013
Later among the works it cites.
C. V. Johnson, “Holographic Heat Engines,” Class. Quant. Grav. 31
2014
Later among the works it cites.
2015
Later among the works it cites.
A. Bravetti, C.S. Lopez-Monsalvo, Para-Sasakian geometry in thermodynamic fluctuation theory
2015
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
Bravetti, A., Tapias, D., Thermostat algorithm for generating target ensembles
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
2017
Later among the works it cites.
Bravetti, A., Cruz, H., Tapias, D., Contact Hamiltonian Mechanics
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
Isidro, J.M.; de Cardoba, P.F., On the Contact Geometry and the Poisson Geometry of the Ideal Gas,
2018
Later among the works it cites.
G. Herczeg and A. Waldron, “Contact Geometry and Quantum Mechanics,” Phys. Lett. B 781
2018
Later among the works it cites.
Vitagliano, L. and Wade A, Holomorphic Jacobi Manifolds and Holomorphic Contact Manifolds
2019
Closest in time.