Black hole phase transitions in Hořava-Lifshitz gravity

Cao, Qiao-Jun; Chen, Yixin; Shao, Kai-Nan

doi:10.1103/physrevd.83.064015

Cited by 36 publications

(26 citation statements)

References 51 publications

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“…The thermodynamic quantities of topological HL black holes are calculated in [23][24][25][26][27]. In [28] the authors studied phase transition of charged topological HL black hole with general dynamical parameter λ and phase transition of KihagiasSfetosos (KS) black hole. In [29], phase transition and scaling behavior of charged HL black holes with λ = 1 were studied.…”

Section: Introductionmentioning

confidence: 99%

Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Zhao

Liu

2017

Class. Quantum Grav.

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On the basis of horizon thermodynamics, we study the thermodynamic stability and P − V criticality of topological black holes constructed in Hořava-Lifshitz (HL) gravity without the detailedbalance condition (with general ǫ). In the framework of horizon thermodynamics, we do not need the concrete black hole solution (the metric function) and the concrete matter fields. It is shown that the HL black hole for k = 0 is always thermodynamically stable. For k = 1, the thermodynamic behaviors and P − V criticality of the HL black hole are similar to those of RN-AdS black hole for some ǫ. For k = −1, the temperature is classified into six types by their different features. Among them, we mainly focus on the type with a triply degenerate thermodynamic state. It is also shown that there is a " thermodynamic singularity" for the k = −1 HL black hole, where the temperature and Gibbs free energy both diverge apart from a special pressure Ps.

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Section: Introductionmentioning

confidence: 99%

Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Zhao

Liu

2017

Class. Quantum Grav.

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“…Horava-Lifshitz gravity [3] is one of the interesting UV modifications of general relativity (GR), in which reduces to GR at infrared (IR) limit. Based on Lifshitz scaling for space and time, different attractive subjects have been considered such as string theory of types IIA and IIB [4,5], AdS/CFT correspondence [6][7][8], dilatonic black holes/branes [9][10][11][12][13] and phase transitions/geometrical thermodynamics of black holes [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

et al. 2017

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This paper is devoted to an investigation of nonlinearly charged dilatonic black holes in the context of gravity's rainbow with two cases: (1) by considering the usual entropy, (2) in the presence of first order logarithmic correction of the entropy. First, exact black hole solutions of dilatonic Born-Infeld gravity with an energy dependent Liouville-type potential are obtained. Then, thermodynamic properties of the mentioned cases are studied, separately. It will be shown that although mass, entropy and the heat capacity are modified due to the presence of a first order correction, the temperature remains independent of it. Furthermore, it will be shown that divergences of the heat capacity, hence phase transition points are also independent of a first order correction, whereas the stability conditions are highly sensitive to variation of the correction parameter. Except for the effects of a first order correction, we will also present a limit on the values of the dilatonic parameter and show that it is possible to recognize AdS and dS thermodynamical behaviors for two specific branches of the dilatonic parameter. In addition, the effects of nonlinear electromagnetic field and energy functions on the thermodynamical behavior of the solutions will be highlighted and dependency of critical behavior, on these generalizations will be investigated. a

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“…By taking the pressure to be constant, one would have canonical and grand canonical ensembles with respect to the elctric charge. In these cases our analysis of the specific heat reduces to that of [34] in non-extended phase space. We briefly give the results.…”

Section: Thermodynamic Phase Transition Of Charged Hořava-lifshitmentioning

confidence: 99%

“…It can be treated as a candidate for a quantum gravity theory. In the last few years, its black hole solutions and the corresponding thermodynamics have been studied in literature [25][26][27][28][29][30][31][32][33][34][35].…”

Section: Thermodynamic Phase Transition Of Charged Hořava-lifshitmentioning

confidence: 99%

“…Hořava-Lifshitz gravity is a UV complete non-relativistic power-counting renormalizable theory of gravity proposed by Hořava [23,24], which reduces to Einstein's general relativity in the IR limit. Its black hole solutions were presented in [25][26][27][28] and the thermodynamics of these black holes has * mb.jahani@iasbs.ac.ir † n riazi@sbu.ac.ir been investigated in [29][30][31][32][33][34][35]. The authors of [34] study the thermodynamics and phase transition of charged Hořava-Lifshitz black holes in non-extended phase space.…”

Section: Introductionmentioning

confidence: 99%

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Phase transition and thermodynamic stability in extended phase space and charged Hořava–Lifshitz black holes

Poshteh

Riazi

2017

Gen Relativ Gravit

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For charged black holes in Hořava-Lifshitz gravity, a second order phase transition takes place in extended phase space where the cosmological constant is taken as thermodynamic pressure. We relate the second order nature of phase transition to the fact that the phase transition occurs at a sharp temperature and not over a temperature interval. Once we know the continuity of the first derivatives of the Gibbs free energy, we show that all the Ehrenfest equations are readily satisfied. We study the effect of the perturbation of the cosmological constant as well as the perturbation of the electric charge on thermodynamic stability of Hořava-Lifshitz black hole. We also use thermodynamic geometry to study phase transition in extended phase space. We investigate the behavior of scalar curvature of Weinhold, Ruppeiner, and Quevedo metric in extended phase space of charged Hořava-Lifshitz black holes. It is checked if these curvatures could reproduce the result of specific heat for the phase transition.

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Black hole phase transitions in Hořava-Lifshitz gravity

Cited by 36 publications

References 51 publications

Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

Phase transition and thermodynamic stability in extended phase space and charged Hořava–Lifshitz black holes

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