Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions

Xu, Hao; Xu, Wei; Zhao, Liu

doi:10.1140/epjc/s10052-014-3074-1

Cited by 128 publications

(71 citation statements)

References 67 publications

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“…In this way, people can investigate the P -V critical behaviors of AdS black holes and find exactly the same behaviors as in the van der Waals liquid-gas system. The P -V criticality study of AdS black holes has now been pushed even further to other gravities such as higher-derivative gravities [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

P−Vcriticality in the extended phase space of black holes in massive gravity

2015

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We study the P -V criticality and phase transition in the extended phase space of charged anti-de Sitter black holes in canonical ensemble of ghost-free massive gravity, where the cosmological constant is viewed as a dynamical pressure of the black hole system. We give the generalized thermodynamic first law and the Smarr relation with massive gravity correction. We find that not only when the horizon topology is spherical but also in the Ricci flat or hyperbolic case, there appear the P -V criticality and phase transition up to the combination k+c 2 0 c2m 2 in the four-dimensional case, where k characterizes the horizon curvature and c2m 2 is the coefficient of the second term of massive potential associated with the graviton mass. The positivity of such combination indicate the van der Waals-like phase transition. When the spacetime dimension is larger then four, the Maxwell charge there seems unnecessary for the appearance of critical behavior, but a infinite repulsion effect needed, which can also be realized through negative valued c3m 2 or c4m 2 , which is third or fourth term of massive potential. When c3m 2 is positive, a Hawking-Page like black hole to vacuum phase transition is shown in the five-dimensional chargeless case. For the van der Waals like phase transition in four and five spacetime dimensions, we calculate the critical exponents near critical point and find they are the same as those in the van der Waals liquid-gas system.

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Section: Introductionmentioning

confidence: 99%

P−Vcriticality in the extended phase space of black holes in massive gravity

2015

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“…The other thermodynamic quantities we need can also be easily calculated [50]. The black hole entropy…”

Section: Equal Area Law For the Third Order Lovelock Black Holesmentioning

confidence: 99%

“…In our previous work [48] we investigate the critical behavior of Gauss-Bonnet AdS black holes by taking the Gauss-Bonnet coupling constant as a free variable [49]. In another work [50], we studied the criticality of the third order Lovelock black holes. We find a single critical point for spherical horizon in d = 7, and two for d = 8, 9, 10, 11.…”

Section: Introductionmentioning

confidence: 99%

“…We will show the small and large black holes indeed have the same Gibbs free energy. For the third order Lovelock black holes in d = 8, 9, 10, 11, there can be very rich phase structures in the extended phase space, such as the reentrant phase transition which includes both first and zeroth order transition [18,27,50]. There exist two critical points T c1 and T c2 .…”

Section: Introductionmentioning

confidence: 99%

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Maxwell’s equal area law for Lovelock thermodynamics

2017

Int. J. Mod. Phys. D

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We present the construction of Maxwell's equal area law for the Guass-Bonnet AdS black holes in d = 5, 6 and third order Lovelock AdS black holes in d = 7, 8. The equal area law can be used to find the number and location of the points of intersection in the plots of Gibbs free energy, so that we can get the thermodynamically preferred solution which corresponds to the first order phase transition. We obtain the radius of the small and large black holes in the phase transition which share the same Gibbs free energy. The case with two critical points is explored in much more details. The latent heat is also studied.

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“…These geometrical area (entropy) bounds are also studied in Gauss-Bonnet gravity [47], where the Gauss-Bonnet coupling constant should also be treated as a thermodynamical variable (see, e.g. [42,[48][49][50][51][52]). Meanwhile, area bounds are modified by the constants of theory.…”

Section: Asymptotically Ads Black Holementioning

confidence: 99%

Entropy relations and bounds of horizons in modified gravity

Liu

Meng

et al. 2017

EPL

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Abstract:We survey the applications of universal entropy relations in black holes with multi-horizons. In sharp distinction to conventional entropy product, the entropy relationship here not only improve our understanding of black hole entropy but was introduced as an elegant technique trick for handling various entropy bounds and sum. Despite the primarily technique role, entropy relations have provided considerable insight into several different types of gravity, including massive gravity, Einstein-Dilaton gravity and Horava-Lifshitz gravity. We present and discuss the results for each one.

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Extended phase space thermodynamics for third-order Lovelock black holes in diverse dimensions

Cited by 128 publications

References 67 publications

P−Vcriticality in the extended phase space of black holes in massive gravity

P−Vcriticality in the extended phase space of black holes in massive gravity

Maxwell’s equal area law for Lovelock thermodynamics

Entropy relations and bounds of horizons in modified gravity

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