Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Hendi, S. H.; Panahiyan, S.; Momennia, Mehrab

doi:10.1142/s0218271816500632

Cited by 57 publications

(33 citation statements)

References 44 publications

(81 reference statements)

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“…There are several reasons for such a consideration; e.g. one can point out the existence of a second order phase transition for black holes, Van der Waals like liquid/gas behavior in phase diagrams, and the formation of the triple point [91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106][107][108][109]. The consideration of the cosmological constant as a thermodynamical variable could be supported by studies that are conducted in the context of AdS/CFT [120][121][122][123].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, it was shown that a case of ensemble dependency exists for charged three-dimensional black holes which could be removed by considering the cosmological constant as a thermodynamical variable [124]. The thermodynamical critical behavior of black holes in the presence of different matter fields and gravities has been investigated in the literature [91][92][93][94][95][96][97][98][99][100][101][102][103][104][105][106][107][108][109].…”

Section: Introductionmentioning

confidence: 99%

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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%

Section: Introductionmentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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“…One of the most important property of this method is the similarity of critical behavior of the black holes and ordinary thermodynamical Van der Waals liquid/gas systems [75][76][77][78][79][80][81][82][83][84][85][86][87]. Recently, it was pointed out that the extended phase space should be interpreted as an RG-flow in the space of field theories, where isotherm curves codify how the number of degrees of freedom N (or the central charge c) runs with the energy scale [88].…”

Section: Jhep11(2015)157mentioning

confidence: 99%

“…Using the renewed interpretation of the cosmological constant as thermodynamical pressure, one can use following relation to rewrite thermodynamical relations of the solutions in spherical horizon [75][76][77][78][79][80][81][82][83][84][85][86][87] …”

Section: P − V Criticality Of Charged Black Holes In En-bi-massive Grmentioning

confidence: 99%

Einstein-Born-Infeld-massive gravity: adS-black hole solutions and their thermodynamical properties

Hendi

Panah

Panahiyan

2015

J. High Energ. Phys.

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138

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In this paper, we study massive gravity in the presence of Born-Infeld nonlinear electrodynamics. First, we obtain metric function related to this gravity and investigate the geometry of the solutions and find that there is an essential singularity at the origin (r = 0). It will be shown that due to contribution of the massive part, the number, type and place of horizons may be changed. Next, we calculate the conserved and thermodynamic quantities and check the validation of the first law of thermodynamics. We also investigate thermal stability of these black holes in context of canonical ensemble. It will be shown that number, type and place of phase transition points are functions of different parameters which lead to dependency of stability conditions to these parameters. Also, it will be shown how the behavior of temperature is modified due to extension of massive gravity and strong nonlinearity parameter. Next, critical behavior of the system in extended phase space by considering cosmological constant as pressure is investigated. A study regarding neutral Einstein-massive gravity in context of extended phase space is done. Geometrical approach is employed to study the thermodynamical behavior of the system in context of heat capacity and extended phase space. It will be shown that GTs, heat capacity and extended phase space have consistent results. Finally, critical behavior of the system is investigated through use of another method. It will be pointed out that the results of this method is in agreement with other methods and follow the concepts of ordinary thermodynamics.

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“…[6][7][8][9][10][11][12] and the references therein) with finite selfa e-mail: breev@mail.tsu.ru b e-mail: shabad@lpi.ru energy of the point charge, allied to their famous prototype, the Born-Infeld model [13], where the finiteness of the field is achieved at the cost of square-root nonanalyticity of the Lagrangian, which leads to an infinity to the Maxwell equation. The most popular application [6][7][8][9][10][11][12][14][15][16][17][18][19][20][21][22]] of these models is to combine them with General Relativity in order to study their effect on the initial singularity and on the evolution of the Universe. In contrast to the Born-Infeld model, the models from the class of Ref.…”

Section: Introductionmentioning

confidence: 99%

Interaction between two point-like charges in nonlinear electrostatics

Бреев

Shabad

2018

Eur. Phys. J. C

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We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R/r , and in the opposite approximation, where R r, up to the term quadratic in the ratio r/R. The consideration proposes the law a + bR 1/3 for the energy, when the charges are close to one another, R → 0. This leads to the singularity of the force between them to be R −2/3 , which is weaker than the Coulomb law, R −2 .

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Extended phase space of AdS black holes in Einstein–Gauss–Bonnet gravity with a quadratic nonlinear electrodynamics

Cited by 57 publications

References 44 publications

Charged dilatonic black holes in gravity’s rainbow

Charged dilatonic black holes in gravity’s rainbow

Einstein-Born-Infeld-massive gravity: adS-black hole solutions and their thermodynamical properties

Interaction between two point-like charges in nonlinear electrostatics

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