Thermodynamic geometry of AdS black holes and black holes in a cavity

Wang, Peng; Wu, Houwen; Yang, Haitang

doi:10.1140/epjc/s10052-020-7776-2

Cited by 52 publications

(32 citation statements)

References 90 publications

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“…According to the theory of black hole in general relativity, it is clear that the SAdS black hole is close to Schwarzschild black hole in small scale, while the RN black hole is similar to Schwarzschild black hole in large scale. To be clear, let's consider the behaviors of the temperature for Schwarzschild, SAdS, RN and RN-AdS black holes based on the expression of the temperature of RN-AdS black hole [15,[27][28][29]…”

Section: Ruppeiner Thermodynamic Geometrymentioning

confidence: 99%

Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole

Yang

2020

Phys. Rev. D

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Due to the non-independence of entropy and thermodynamic volume for spherically symmetric black holes in the AdS spacetime, when applying the Ruppeiner thermodynamic geometry theory to these black holes, we often encounter an unavoidable problem of the singularity about the line element of thermodynamic geometry. In this paper, we propose a basic and natural scheme for dealing with the thermodynamic geometry of spherically symmetric AdS black holes. We point out that enthalpy, not internal energy, is the fundamental thermodynamic characteristic function for the Ruppeiner thermodynamic geometry. Based on this fact, we give the specific forms of the line element of thermodynamic geometry for Schwarzschild AdS (SAdS) black hole in different phase spaces and the results show that the thermodynamic curvatures obtained in different phase spaces are equivalent. It is shown that the thermodynamic curvature is negative which implies that the attractive interaction dominates between black hole molecules for the SAdS black hole. Meanwhile we also give an approximate expression of the thermodynamic curvature of the Schwarzschild black hole which indicates that the black hole is dominated by repulsion on low temperature region and by attraction on high temperature region.

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Section: Ruppeiner Thermodynamic Geometrymentioning

confidence: 99%

Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole

Yang

2020

Phys. Rev. D

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“…For other works to destroy the horizon of a black hole, see Refs. [67][68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85]. For a brief review on weak cosmic censorship conjecture with some thoughts see Ref.…”

Section: Introductionmentioning

confidence: 99%

Weak cosmic censorship conjecture for the novel 4D charged Einstein–Gauss–Bonnet black hole with test scalar field and particle

et al. 2020

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Recent researches of the novel 4D Einstein–Gauss–Bonnet (EGB) gravity have attracted great attention. In this paper, we investigate the validity of the weak cosmic censorship conjecture for a novel 4D charged EGB black hole with test charged scalar field and test charged particle respectively. For the test charged field scattering process, we find that both extremal and near-extremal black holes cannot be overcharged. For the test charged particle injection, to first order, an extremal black hole cannot be overcharged while a near-extremal 4D charged EGB black hole can be destroyed. To second order, however, both extremal and near-extremal 4D charged EGB black holes can be overcharged for positive Gauss–Bonnet coupling constant; for negative Gauss–Bonnet coupling constant, an extremal black hole cannot be overcharged and the validity of the weak cosmic censorship conjecture for a near-extremal black hole depends on the Gauss–Bonnet coupling constant.

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“…However, we recently studied Born-Infeld black holes enclosed in a cavity in a canonical ensemble [56] and a grand canonical ensemble [57] and revealed that their phase structure has dissimilarities from that of Born-Infeld-AdS black holes. Moreover, contrary to the phase behavior, we found that there exist significant differences between the thermodynamic geometry of RN black holes in a cavity and that of RN-AdS black holes [58], and some dissimilarities between the two cases also occur for validities of the second thermodynamic law and the weak cosmic censorship [59]. These findings motivate us to further explore connections between thermodynamic properties of black holes and their boundary conditions.…”

Section: Introductionmentioning

confidence: 60%

Extended phase space thermodynamics for black holes in a cavity

Wang

Yang

et al. 2020

J. High Energ. Phys.

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In this paper, we extend the phase space of black holes enclosed by a spherical cavity of radius rB to include $$ V=4\pi {r}_B^3/3 $$ V = 4 π r B 3 / 3 as a thermodynamic volume. The thermodynamic behavior of Schwarzschild and Reissner-Nordstrom (RN) black holes is then investigated in the extended phase space. In a canonical ensemble at constant pressure, we find that the aforementioned thermodynamic behavior is remarkably similar to that of the anti-de Sitter (AdS) counterparts with the cosmological constant being interpreted as a pressure. Specifically, a first-order Hawking-Page-like phase transition occurs for a Schwarzschild black hole in a cavity. The phase structure of a RN black hole in a cavity shows a strong resemblance to that of the van der Waals fluid. We also display that the Smarr relation has the same expression in both AdS and cavity cases. Our results may provide a new perspective for the extended thermodynamics of AdS black holes by analogy with black holes in a cavity.

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Thermodynamic geometry of AdS black holes and black holes in a cavity

Cited by 52 publications

References 90 publications

Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole

Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole

Weak cosmic censorship conjecture for the novel 4D charged Einstein–Gauss–Bonnet black hole with test scalar field and particle

Extended phase space thermodynamics for black holes in a cavity

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