Higher-dimensional black holes with a conformally invariant Maxwell source

Hassaı̈ne, Mokhtar; Martínez, Cristián

doi:10.1103/physrevd.75.027502

Cited by 312 publications

(353 citation statements)

References 17 publications

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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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Section: Introductionmentioning

confidence: 99%

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

2012

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“…One of the special classes of nonlinear electrodynamics is Power Maxwell Invariant (PMI) theory [38,53,54,55,56,57,58,59,60]. The PMI theory has an interesting result which distinguishes this nonlinear theory from others; this theory enjoys conformal invariancy when the power of Maxwell invariant is a quarter of spacetime dimensions (power = dimensions/4).…”

Section: Power Maxwell Invariant (Pmi) Sourcementioning

confidence: 99%

“…It is worth mentioning that the idea is to take advantages of the conformal symmetry to construct the analogues of the 4 dimensional Reissner-Nordström solutions with an inverse square law for the electric field of the point-like charges in arbitrary dimensions. Now, we take into account the Lagrangian of nonlinear PMI model with the following explicit form [38,53,54,55,56,57,58,59,60] L…”

Section: Power Maxwell Invariant (Pmi) Sourcementioning

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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“…Quantized Maxwell theory in a conformally invariant gauge have been investigated by Esposito [21]. Also, there exists a conformally invariant extension of the Maxwell action in higher dimensions (Generalized Maxwell Field, GMF), if one uses the lagrangian of the U (1) gauge field in the form [22] …”

Section: Introductionmentioning

confidence: 99%

Topological black holes in Gauss–Bonnet gravity with conformally invariant Maxwell source

Hendi

2009

Physics Letters B

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In this paper, we present a class of rotating solutions in Gauss-Bonnet gravity in the presence of cosmological constant and conformally invariant Maxwell field and study the effects of the nonlinearity of the Maxwell source on the properties of the spacetimes. These solutions may be interpret as black brane solutions with inner and outer event horizons provide that the mass parameter m is greater than an extremal value m ext , an extreme black brane if m = m ext and a naked singularity otherwise. We investigate the conserved and thermodynamics quantities for asymptotically flat and asymptotically AdS with flat horizon. We also show that the conserved and thermodynamic quantities of these solutions satisfy the first law of thermodynamics.

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Higher-dimensional black holes with a conformally invariant Maxwell source

Cited by 312 publications

References 17 publications

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

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

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

Topological black holes in Gauss–Bonnet gravity with conformally invariant Maxwell source

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