Fetching the paper…

Reading the bibliography…

Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes · Around

2014

Maxwell's equal-area law for Gauss-Bonnet Anti-de Sitter black holes

Belhaj, A., Chabab, M., Moumni, H. El et al.

Original
PDF
Post on X

Understand

Interpreting the cosmological constant \Lambda as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we study the Maxwell's equal area law of higher dimensional Gauss-Bonnet-AdS black holes in extended phase space.

These black hole solutions critically behave like Van der Waals systems.
It has been realized that below the critical temperature T_c the stable equilibrium is violated.
We show through calculations that the critical behaviors for the uncharged black holes only appear in d=5.

Built on

D. G. Boulware and S. Deser, String Generated Gravity Models
1985
Earlier work this paper cites.
D. L. Wiltshire, Spherically Symmetric Solutions Of Einstein-maxwell Theory With A Gauss-bonnet Term
1986
Earlier work this paper cites.
S. Hawking, D. N. Page, Thermodynamics of Black Holes in Anti-de Sitter Space
1987
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. Johnson, R. Myers, Charged AdS black holes and catastrophic holography
1999
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. Johnson, R. Myers, Holography, thermodynamics, and fluctuations of charged AdS black holes
1999
Earlier work this paper cites.
R. -G. Cai, Gauss-Bonnet black holes in AdS spaces
2002
Earlier work this paper cites.
M. Cvetic, S. ’i. Nojiri and S. D. Odintsov, Black hole thermodynamics and negative entropy in de Sitter and anti-de Sitter Einstein-Gauss-Bonnet gravity
2002
Earlier work this paper cites.
T. Clunan, S. F. Ross and D. J. Smith, On Gauss-Bonnet black hole entropy
Original
2004
Earlier work this paper cites.

Similar

D. Kastor, S. Ray, J. Traschen, Enthalpy and the Mechanics of AdS Black Holes, Class. Quant. Grav. 261
Original
2009
Cited alongside, same era.
D. Kastor, S. Ray and J. Traschen, Smarr Formula and an Extended First Law for Lovelock Gravity
Original
2010
Cited alongside, same era.
O. Miskovic, R. Olea, Quantum Statistical Relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity
Original
2011
Cited alongside, same era.
M. Cvetic, G. W. Gibbons, D. Kubiznak, C. N. Pope, Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
Original
2011
Cited alongside, same era.
B. P. Dolan, Pressure and volume in the first law of black hole thermodynamics

Then

C. Song-Bai, L. Xiao-Fang, L. Chang-Qing, P P - V V Criticality of an AdS Black Hole in f(R) Gravity
2013
Later among the works it cites.
A. Belhaj, M. Chabab, H. El Moumni, L. Medari, M. B. Sedra, The Thermodynamical Behaviors of Kerr-Newman AdS Black Holes
2013
Later among the works it cites.
E. Spallucci and A. Smailagic, Maxwell’s equal area law for charged Anti-deSitter black holes
Original
2013
Later among the works it cites.
E. Spallucci and A. Smailagic, Maxwell’s equal area law and the Hawking-Page phase transition
Original
2013
Later among the works it cites.
R. G. Cai, L. M. Cao, L. Li and R. Q. Yang, P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
Original
2013

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2011

Cited alongside, same era.

D. Kubiznak and R. B. Mann, P-V criticality of charged AdS black holes

2012

Cited alongside, same era.

R. Banerjee, S.K. Modak, D. Roychowdhury, A unified picture of phase transition: from liquid-vapour systems to AdS black holes

2012

Cited alongside, same era.

A. Belhaj, M. Chabab, H. El Moumni, M. B. Sedra, On Thermodynamics of AdS Black Holes in Arbitrary Dimensions

2012

Cited alongside, same era.

B. P. Dolan, D. Kastor, D. Kubiznak, R. B. Mann, J. Traschen, Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes

Cited in the paper.

D. O’Connor, B. P. Dolan, M. Vachovski, Critical Behaviour of the Fuzzy Sphere

Cited in the paper.

B.P. Dolan, The compressibility of rotating black holes in D-dimensions

Cited in the paper.

S. Gunasekaran, D. Kubiznak, R. B. Mann, Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization

Cited in the paper.

Later among the works it cites.

J. X. Zhao, M. S. Ma, L. C. Zhang, H. H. Zhao and R. Zhao, The equal area law of asymptotically AdS black holes in extended phase space

2014

Closest in time.

S. H. Hendi, S. Panahiyan and E. Mahmoudi, Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source

2014

Closest in time.