P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space

By R. Cai, Li-Ming Cao, Li Li, Run-Qiu Yang. 2013

470 citations recorded by the source corpus.

A bstractWe study the P − V criticality and phase transition in the extended phase space of charged Gauss-Bonnet black holes in anti-de Sitter space, where the cosmological constant appears as a dynamical pressure of the system and its conjugate quantity is the thermodynamic volume of the black holes. The black holes can have a Ricci flat (k = 0), spherical (k = 1), or hyperbolic (k = −1) horizon. We find that for the Ricci flat and hyperbolic Gauss-Bonnet black holes, no P − V criticality and phase transition appear, while for the black holes with a spherical horizon, even when the charge of the black hole is absent, the P − V criticality and the small black hole/large black hole phase transition will appear, but it happens only in d = 5 dimensions; when the charge does not vanish, the P − V criticality and the small black hole/large phase transition always appear in d = 5 dimensions; in the case of d ≥ 6, to have the P − V criticality and the small black hole/large black hole phase transition, there exists an upper bound for the parameter $ b=\widetilde{\alpha }{{\left| Q \right|}^{{{-2 \left/ {{\left( {d-3} \right)}} \right.}}}} $, where $ \widetilde{\alpha } $ is the Gauss-Bonnet coefficient and Q is the charge of the black hole. We calculate the critical exponents at the critical point and find that for all cases, they are the same as those in the van der Waals liquid-gas system.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e7bfe85920097b4b0092d044e189d5a1326d2be7

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Citations in the corpus

Ruppeiner geometry, phase transitions, and the microstructure of charged AdS black holes (2019, background): “This approach has been extended to a very large variety of AdS black holes, and phenomena such as reentrant phase transitions, triple points, isolated critical points, and λ-line phase transitions have all been observed in different black hole systems [40–51].”
Thermodynamics of Rotating Black Holes and Black Rings: Phase Transitions and Thermodynamic Volume (2014, background): “The same remains true for charged AdS black holes in higher dimensions [16, 17, 27].”
Black hole chemistry: thermodynamics with Lambda (2016, background): “These include black holes in higher [120, 141, 199–202] and lower dimensions [177, 203, 204], Lovelock gravity [78, 82, 89, 205, 221], nonlinear electrodynamics [84, 87–89, 89–92], Einstein–Yang–Mills gravity [206], black holes with scalar hair [57, 203, 207–210], dyonic black holes [211], f(R) grav”
Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space (2020, background): “[19], where the authors found that for the Ricci flat and hyperbolic GB black holes, no P -V criticality and phase transition exists.”
Holographic entanglement entropy and the extended phase structure of STU black holes (2015, background): “The extended phase space and associated thermodynamics have been studied for the RN-AdS solution, Taub-NUT-AdS, Taub-Bolt-AdS [26–28] and their cousins in higher derivative theories such as Gauss-Bonnet and Lovelock gravity [29–34].”
Multiple reentrant phase transitions and triple points in Lovelock thermodynamics (2014, methodology): “this imposes the important bound (see also [46])”