Thermodynamics and phase transition of a Gauss-Bonnet black hole in a cavity

Wang, Peng; Yang, Haitang; Ying, Shuxuan

doi:10.1103/physrevd.101.064045

Cited by 36 publications

(29 citation statements)

References 57 publications

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“…This four-dimensional Einstein-Gauss-Bonnet gravity theory was further improved and a consistent theory was proposed in [58]. The generalization to other black hole solutions are referred to [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75][76][77][78].…”

Section: (): V-volmentioning

confidence: 99%

The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

et al. 2021

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In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a four-dimensional charged Einstein–Gauss–Bonnet black hole. The perturbation of a massless scalar field in the black hole’s background is adopted. The quasinormal modes are gotten by the 6th order WKB approximation approach and shadow radius, respectively. When the value of the Gauss–Bonnet coupling constant increase, the values of the real parts of the quasinormal modes increase and those of the imaginary parts decrease. The coincidence degrees of quasinormal modes derived by the two approaches increases with the increase of the values of the Gauss–Bonnet coupling constant and multipole number. It shows the correspondence between the shadow and test field in the four-dimensional Einstein–Gauss–Bonnet–Maxwell gravity. The radii of the photon sphere and shadow increase with the decrease of the Gauss–Bonnet coupling constant.

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Section: (): V-volmentioning

confidence: 99%

The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

et al. 2021

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“…In addition, properties of boson stars and hairy black holes in a cavity were investigated [47][48][49][50][51][52][53][54], which were shown to closely resemble those of holographic superconductors in the AdS gravity. Lately, it was discovered that Gauss-Bonnet black holes in a cavity have quite similar phase structure and transitions to the AdS counterparts [55]. These observations lend support to the analogy between black holes in a cavity and AdS black holes.…”

Section: Introductionmentioning

confidence: 76%

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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“…Recently, it is found that the resemblance still exist in the extended phase space [56]. And it was discovered that Gauss-Bonnet black holes in a cavity also have quite similar phase structure and transitions to the AdS counterparts [57]. However, it is shown that the phase structure of Born-Infeld black holes enclosed in a cavity has dissimilarities from that of Born-Infeld-AdS black holes [58,59].…”

Section: Introductionmentioning

confidence: 99%

Scalarized Einstein–Maxwell-scalar black holes in a cavity

Yao

2021

Eur. Phys. J. C

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In this paper, we study the spontaneous scalarization of Reissner–Nordström (RN) black holes enclosed by a cavity in an Einstein–Maxwell-scalar (EMS) model with non-minimal couplings between the scalar and Maxwell fields. In this model, scalar-free RN black holes in a cavity may induce scalarized black holes due to the presence of a tachyonic instability of the scalar field near the event horizon. We calculate numerically the black hole solutions, and investigate the domain of existence, perturbative stability against spherical perturbations and phase structure. The scalarized solutions are always thermodynamically preferred over RN black holes in a cavity. In addition, a reentrant phase transition, composed of a zeroth-order phase transition and a second-order one, occurs for large enough electric charge Q.

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Thermodynamics and phase transition of a Gauss-Bonnet black hole in a cavity

Cited by 36 publications

References 57 publications

The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

The correspondence between shadow and test field in a four-dimensional charged Einstein–Gauss–Bonnet black hole

Extended phase space thermodynamics for black holes in a cavity

Scalarized Einstein–Maxwell-scalar black holes in a cavity

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