Thermodynamic analysis of topological black holes in Gauss–Bonnet gravity with nonlinear source

Hendi, S. H.; Panahiyan, S.; Mahmoudi, Ehsan

doi:10.1140/epjc/s10052-014-3079-9

Cited by 33 publications

(29 citation statements)

References 73 publications

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“…This phase transition was reconsidered through the use of the AdS/CFT correspondence by Witten [80]. This work motivated a great deal of research to be conducted in context of black holes thermodynamics, stability, and their phase transitions [81][82][83][84][85][86][87][88][89][90].…”

Section: Introductionmentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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In this paper, we present charged dilatonic black holes in gravity's rainbow. We study the geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic quantities for these charged black holes in dilatonic gravity's rainbow. Then we demonstrate that the first law of thermodynamics is valid for these solutions. After that, we investigate thermal stability of the solutions using the canonical ensemble and analyze the effects of different rainbow functions on the thermal stability. In addition, we present some arguments regarding the bound and phase transition points in context of geometrical thermodynamics. We also study the phase transition in extended phase space in which the cosmological constant is treated as the thermodynamic pressure. Finally, we use another approach to calculate and demonstrate that the obtained critical points in extended phase space represent a second order phase transition for these black holes.

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Section: Introductionmentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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“…Another interesting aspect of GB gravity is that it can be arisen from the low-energy limit of heterotic string theory [58][59][60][61]. Considering the GB gravity context, black hole solutions and their interesting behavior have been investigated in much literature [62][63][64][65][66][67][68][69][70].…”

Section: Introductionmentioning

confidence: 99%

New perspective for black hole thermodynamics in Gauss–Bonnet–Born–Infeld massive gravity

Hendi

et al. 2016

Eur. Phys. J. C

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Following an earlier study regarding EinsteinGauss-Bonnet-massive black holes in the presence of a Born-Infeld nonlinear electromagnetic field (Hendi, arXiv:1510.00108, 2016, we study thermodynamical structure and critical behavior of these black holes through various methods in this paper. Geometrical thermodynamics is employed to give a picture regarding the phase transition of these black holes. Next, a new method is used to derive critical pressure and radius of the horizon of these black holes. In addition, Maxwell equal area law is employed to study the Van der Waals like behavior of these black holes. Moreover, the critical exponents are calculated and by using Ehrenfest equations, the type of phase transition is determined.

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“…the Gauss-Bonnet combination, G = R 2 − 4γ R μν R μν + γ R μνδγ R μνδγ . Although one may consider the (Wald) entropy effect of Gauss-Bonnet (GB) gravity in four dimensions [12][13][14][15], it is notable that the variation of GB Lagrangian is a total derivative in four dimensions, and therefore it does not contribute to the four dimensional field equations, as well as to the black hole solutions [16][17][18][19]. Thus, in order to study the contributions of GB term, solutions to Lanczos-Lovelock gravity [20,21], which is realized in five and even higher dimensions, are studied.…”

Section: Introductionmentioning

confidence: 99%

History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term

Debnath¹,

Ruz²,

Mandal³

et al. 2017

Eur. Phys. J. C

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Gauss-Bonnet-dilatonic coupling in four dimensions plays an important role to explain late-time cosmic evolution. However, this term is an outcome of the low energy string effective action and thus ought to be important in the early universe too. Unfortunately, a phase-space formulation of such a theory does not exist in the literature due to branching. We therefore consider a modified theory of gravity, which contains a nonminimally coupled scalar-tensor sector in addition to a higher-order scalar curvature invariant term with Gauss-Bonnet-dilatonic coupling. Such an action unifies early inflation with late-time cosmic acceleration. The quantum version of the theory is also well behaved.

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Thermodynamic analysis of topological black holes in Gauss–Bonnet gravity with nonlinear source

Cited by 33 publications

References 73 publications

Charged dilatonic black holes in gravity’s rainbow

Charged dilatonic black holes in gravity’s rainbow

New perspective for black hole thermodynamics in Gauss–Bonnet–Born–Infeld massive gravity

History of cosmic evolution with modified Gauss–Bonnet-dilatonic coupled term

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