Charged dilatonic black holes in gravity’s rainbow

This paper is devoted to an investigation of nonlinearly charged dilatonic black holes in the context of gravity's rainbow with two cases: (1) by considering the usual entropy, (2) in the presence of first order logarithmic correction of the entropy. First, exact black hole solutions of dilatonic Born-Infeld gravity with an energy dependent Liouville-type potential are obtained. Then, thermodynamic properties of the mentioned cases are studied, separately. It will be shown that although mass, entropy and the heat capacity are modified due to the presence of a first order correction, the temperature remains independent of it. Furthermore, it will be shown that divergences of the heat capacity, hence phase transition points are also independent of a first order correction, whereas the stability conditions are highly sensitive to variation of the correction parameter. Except for the effects of a first order correction, we will also present a limit on the values of the dilatonic parameter and show that it is possible to recognize AdS and dS thermodynamical behaviors for two specific branches of the dilatonic parameter. In addition, the effects of nonlinear electromagnetic field and energy functions on the thermodynamical behavior of the solutions will be highlighted and dependency of critical behavior, on these generalizations will be investigated. a

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“…which is charged black hole in gravity's rainbow [110]. On the other hand, for limiting case of α = γ = 0 and β −→ ∞, our solutions reduce to …”

Section: Black Hole Solutions Of Dilaton Gravity's Rainbow In the Prementioning

confidence: 74%

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

et al. 2017

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“…In other words, the pressure and horizon radius of the maximum are critical pressure and horizon radius. This method was employed in several paper [63,64,66,151]. Now, we employ this method to study critical behavior of the system.…”

Section: Critical Behaviormentioning

confidence: 99%

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

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106

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Motivated by recent developments of BTZ black holes and interesting results of massive gravity, we investigate massive BTZ black holes in the presence of Maxwell and Born-Infeld (BI) electrodynamics. We study geometrical properties such as type of singularity and asymptotical behavior as well as thermodynamic structure of the solutions through canonical ensemble. We show that despite the existence of massive term, obtained solutions are asymptotically (a)dS and have a curvature singularity at the origin. Then, we regard varying cosmological constant and examine the Van der Waals like behavior of the solutions in extended phase space. In addition, we employ geometrical thermodynamic approaches and show that using Weinhold, Ruppeiner and Quevedo metrics leads to existence of ensemble dependency while HPEM metric yields consistent picture. For neutral solutions, it will be shown that generalization to massive gravity leads to the presence of non-zero temperature and heat capacity for vanishing horizon radius. Such behavior is not observed for linearly charged solutions while generalization to nonlinearly one recovers this property.

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“…The consistency of this method with other methods was investigated in Refs. [45,46,74,75]. Now, we will employ this method to obtain the critical pressure and radius of the horizon of these black holes.…”

Section: P-v Criticality Through New Approachmentioning

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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Charged dilatonic black holes in gravity’s rainbow

Cited by 130 publications

References 161 publications

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

Massive charged BTZ black holes in asymptotically (a)dS spacetimes

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

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