Critical behavior of charged black holes in Gauss-Bonnet gravity’s rainbow

Hendi, S. H.; Panahiyan, S.; Panah, B. Eslam; Faizal, Mir; Momennia, Mehrab

doi:10.1103/physrevd.94.024028

Cited by 101 publications

(58 citation statements)

References 53 publications

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“…In this context, the Gauss-Bonnet and dilaton gravities were generalized to energy-dependent Gauss-Bonnet and dilatonic theories of gravity and their black hole solutions were studied [40,41]. Recently, the critical behavior of uncharged and charged black holes in Gauss-Bonnet gravity's rainbow was analyzed and it was found that the generalization to a charged case puts an energy dependent restriction on different parameters [42]. Two classes of F (R) gravity's rainbow solutions were also investigated [43].…”

Section: Introductionmentioning

confidence: 99%

“…Since the scale measurement of theory under consideration depends on the energy that probe can acquire, therefore, it is logical to consider all the constants as energy dependent ones. Such consideration has been taken into account in the context of Gauss-Bonnet gravity and it was shown that it enriches both geometrical and thermodynamical aspects of the black holes [41,42]. Here too, we employ such consideration to take all the constants energy dependent.…”

Section: Introductionmentioning

confidence: 99%

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Charged BTZ black holes in the context of massive gravity’s rainbow

et al. 2017

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BTZ black holes are excellent laboratories for studying black hole thermodynamics which is a bridge between classical general relativity and quantum nature of gravitation. In addition, threedimensional gravity could have equipped us for exploring some of the ideas behind the two dimensional conformal field theory based on the AdS3/CF T2. Considering the significant interests in these regards, we examine charged BTZ black holes. We consider the system contains massive gravity with energy dependent spacetime to enrich the results. In order to make high curvature (energy) BTZ black holes more realistic, we modify the theory by energy dependent constants. We investigate thermodynamic properties of the solutions by calculating heat capacity and free energy. We also analyze thermal stability and study the possibility of Hawking-Page phase transition. At last, we study geometrical thermodynamics of these black holes and compare the results of various approaches.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Charged BTZ black holes in the context of massive gravity’s rainbow

et al. 2017

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“…In order to obtain original solutions, we focus on the challenging Lagrangian, dilatonic Born-Infeld theory, in an energy dependent spacetime, so-called gravity's rainbow. The motivation of considering gravity's rainbow comes from Horava-Lifshitz gravity [20,21], in which help us to regard different scaling of space and time for type IIA and IIB string theory [22,23], AdS/CFT correspondence [24,25,26] and dilaton black objects [27,28,29,30]. The relation between the Horava-Lifshitz gravity and gravity's rainbow was investigated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

Hendi

Talezadeh

2016

Gen Relativ Gravit

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Regarding the wide applications of dilaton gravity in the presence of electrodynamics, we introduce a suitable Lagrangian for the coupling of dilaton with gauge field. There are various Lagrangians which show the coupling between scalar fields and electrodynamics with correct special situations. In this paper, taking into account conformal transformation of Brans-Dicke theory with an electrodynamics Lagrangian, we show that how scalar field should couple with electrodynamics in dilaton gravity. In other words, in order to introduce a correct Lagrangian of dilaton gravity, one should check at least two requirements: compatibility with Brans-Dicke theory and appropriate special situations. Finally, we apply the mentioned method to obtain analytical solutions of dilaton-Born-Infeld and Brans-Dicke-Born-Infeld theories with energy dependent spacetime.

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“…In recent years, the effects of gravity's rainbow have been investigated in the context of black hole thermodynamics in the literature [24][25][26][27]. The modification in the thermodynamics of black rings and other black objects in the context of gravity's rainbow has been investigated in [28,29].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

et al. 2016

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Motivated by the violation of Lorentz invariance in quantum gravity, we study black hole solutions in gravity's rainbow in the context of Einstein gravity coupled with various models of nonlinear electrodynamics. We regard an energy dependent spacetime and obtain the related metric functions and electric fields. We show that there is an essential singularity at the origin which is covered by an event horizon. We also compute the conserved and thermodynamical quantities and examine the validity of the first law of thermodynamics in the presence of rainbow functions. Finally, we investigate the thermal stability conditions for these black hole solutions in the context of canonical ensemble. We show that the thermodynamical structure of the solutions depends on the choices of nonlinearity parameters, charge, and energy functions.

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Critical behavior of charged black holes in Gauss-Bonnet gravity’s rainbow

Cited by 101 publications

References 53 publications

Charged BTZ black holes in the context of massive gravity’s rainbow

Charged BTZ black holes in the context of massive gravity’s rainbow

Nonlinearly charged dilatonic black holes and their Brans–Dicke counterpart: energy dependent spacetime

Thermodynamic instability of nonlinearly charged black holes in gravity’s rainbow

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