A class of black holes in dRGT massive gravity and their thermodynamical properties

Ghosh, Sushant G.; Tannukij, Lunchakorn; Wongjun, Pitayuth

doi:10.1140/epjc/s10052-016-3943-x

Cited by 112 publications

(113 citation statements)

References 89 publications

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“…This generalization has been performed following the procedure developed in the papers of Kiselev [22] and Ghosh et al [38]. Our work extends Ref.…”

Section: Discussionsupporting

confidence: 54%

Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

et al. 2017

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Starting from an analytical expression for the Helmholtz free energy we calculate the thermal corrections to the Casimir energy density and entropy within nearby ideal parallel plates in the vacuum of a massless scalar field. Our framework is the Kerr spacetime in the presence of quintessence and massive gravitons. The high and low temperature regimes are especially analyzed in order to distinguish the main contributions. For instance, in the high temperature regime, we show that the force between the plates is repulsive and grows with both the quintessence and the massive gravitons. Regarding the Casimir entropy, our results are in agreement with the Nernst heat theorem and therefore confirm the third law of thermodynamics in the present scenario.

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“…This generalization has been performed following the procedure developed in the papers of Kiselev [22] and Ghosh et al [38]. Our work extends Ref.…”

Section: Discussionsupporting

confidence: 54%

Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

et al. 2017

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“…Nevertheless, there have been plenty interesting approaches to tackle the complexity to obtain spherical symmetric solutions in massive gravity theories . In particular, it was found by Vegh [4] that a spherically symmetric black hole with a Ricci flat horizon is a solution to the four-dimensional massive gravity and then the solution was studied in the aspect of thermodynamical properties and phase transition structure [5,6]. The spherically symmetric solutions for dRGT were also considered in [9,10].…”

Section: Introductionmentioning

confidence: 99%

Black string in dRGT massive gravity

2017

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We present a cylindrically symmetric solution, both charged and uncharged, which is known as a black string solution to the nonlinear ghost-free massive gravity found by de Rham, Gabadadze, and Tolley (dRGT). This "dRGT black string" can be thought of as a generalization of the black string solution found by Lemos. Moreover, the dRGT black string solution includes other classes of black string solution such as the monopole-black string ones since the graviton mass contributes to the global monopole term as well as the cosmological-constant term. To investigate the solution, we compute mass, temperature, and entropy of the dRGT black string. We found that the existence of the graviton mass drastically affects the thermodynamics of the black string. Furthermore, the Hawking-Page phase transition is found to be possible for the dRGT black string as well as the charged dRGT black string. The dRGT black string solution is thermodynamically stable for r > r c with negative thermodynamical potential and positive heat capacity while it is unstable for r < r c where the potential is positive.

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“…In this theory the mass terms were produced by a reference metric. A class of black hole solutions in the dRGT model and their thermodynamic behavior were studied later [11][12][13]. Vegh [14] proposed another type of massive gravity theory.…”

Section: Introductionmentioning

confidence: 99%

Quasinormal modes and thermodynamics of linearly charged BTZ black holes in massive gravity in (anti) de Sitter space-time

Prasia

Kuriakose

2017

Eur. Phys. J. C

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In this work we study the Quasi-Normal Modes (QNMs) under massless scalar perturbations and the thermodynamics of linearly charged BTZ black holes in massive gravity in the (Anti)de Sitter ((A)dS) space-time. It is found that the behavior of QNMs changes with the massive parameter of the graviton and also with the charge of the black hole. The thermodynamics of such black holes in the (A)dS spacetime is also analyzed in detail. The behavior of specific heat with temperature for such black holes gives an indication of a phase transition that depends on the massive parameter of the graviton and also on the charge of the black hole.

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A class of black holes in dRGT massive gravity and their thermodynamical properties

Cited by 112 publications

References 89 publications

Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

Thermal Casimir effect in Kerr spacetime with quintessence and massive gravitons

Black string in dRGT massive gravity

Quasinormal modes and thermodynamics of linearly charged BTZ black holes in massive gravity in (anti) de Sitter space-time

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