Non-linear charged black holes

Oliveira, H. P. de

doi:10.1088/0264-9381/11/6/012

Cited by 165 publications

(140 citation statements)

References 19 publications

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“…One year later, this nonlinear theory was first employed by Hoffmann in context of Einstein gravity [73]. Although BI theory has long been discarded due to its complexity, in recent two decades, different types of black holes in the presence of BI electrodynamics have been investigated [74][75][76][77][78][79][80][81][82][83][84][85].…”

Section: Jhep05(2016)029mentioning

confidence: 99%

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

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

103

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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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Section: Jhep05(2016)029mentioning

confidence: 99%

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

Hendi

Panah

Panahiyan

2016

J. High Energ. Phys.

103

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“…Since Heisenberg and Euler [23] noted that quantum electrodynamics predicts that the electromagnetic field behaves nonlinearly through the presence of virtual charged particles, the nonlinear electrodynamics has been an interesting subject for many years [24][25][26][27][28][29][30][31][32] because the nonlinear electrodynamics carries more information than the Maxwell field. One of the important nonlinear electrodynamics is the logarithmic electromagnetic field which appears in the description of vacuum polarization effects.…”

Section: Introductionmentioning

confidence: 99%

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

2012

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The behaviors of the holographic superconductors/insulator transition are studied by introducing a charged scalar field coupled with a logarithmic electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and soliton. For the Einstein-Gauss-Bonnet AdS black hole, we find that: i) the larger coupling parameter of logarithmic electrodynamic field b makes it easier for the scalar hair to be condensated;ii) the ratio of the gap frequency in conductivity ω g to the critical temperature T c depends on both b and the Gauss-Bonnet constant α; and iii) the critical exponents are independent of the b and α. For the EinsteinGauss-Bonnet AdS Soliton, we show that the system is the insulator phase when the chemical potential µ is small, but there is a phase transition and the AdS soliton reaches the superconductor (or superfluid) phase when µ larger than critical chemical potential. A special property should be noted is that the critical chemical potential is not changed by the coupling parameter b but depends on α.

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“…The Einstein-Born-Infeld black hole has been revisited in Refs. [14,15] The aim of this paper is to study the charged black hole solutions in five-dimensional Lovelock gravity coupled to Born-Infeld electrodynamics. In section II, we discuss the five-dimensional Lovelock gravity and study the black hole solutions as a preliminary step toward the calculation of the charged solution which we present in a separated section.…”

Section: Introductionmentioning

confidence: 99%

Exact solutions of Lovelock-Born-Infeld black holes

Aiello¹,

Ferraro²,

Giribet³

2004

Phys. Rev. D

127

100

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The exact five-dimensional charged black hole solution in Lovelock gravity coupled to BornInfeld electrodynamics is presented. This solution interpolates between the Hoffmann black hole for the Einstein-Born-Infeld theory and other solutions in the Lovelock theory previously studied in the literature. The conical singularity of the metric around the origin can be removed by a proper choice of the black hole parameters. The thermodynamical properties of the solution are also analyzed and, in particular, it is shown that the behaviour of the specific heat indicates the existence of a stability transition point in the vacuum solutions. We discuss the similarities existing between this five-dimensional geometry and the three-dimensional black hole. Like BTZ black hole, the Lovelock black hole has an infinite lifetime.

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Non-linear charged black holes

Cited by 165 publications

References 19 publications

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

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

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

Exact solutions of Lovelock-Born-Infeld black holes

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