Lovelock black holes with a nonlinear Maxwell field

Maeda, Hideki; Hassaı̈ne, Mokhtar; Martínez, Cristián

doi:10.1103/physrevd.79.044012

Cited by 182 publications

(154 citation statements)

References 125 publications

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“…The Bardeen black holes are also generalized to the model with four specific parameters [22]. Recently, a large class of black hole solutions have been constructed in the power Maxwell theory [23][24][25][26] in which the Maxwell action takes as power-law function of the form L = −β(F µν F µν ) k , where β is a coupling constant and k is a power parameter. It is found that the asymptotic behavior of the solution depends heavily on the value of the power parameter k. Moreover, the black hole solution have been considered in the modified Maxwell field including the nonminimal coupling between the gravitational and electromagnetic fields [27].…”

Section: Introductionmentioning

confidence: 99%

Rotating charged black hole with Weyl corrections

Chen

Jing

2014

Phys. Rev. D

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We present firstly a four-dimensional spherical symmetric black hole with small Weyl corrections and find that with increasing Weyl corrections the region of the event horizon existence for the black hole in the parameter space increases for the negative Weyl coupling parameter and decreases for the positive one. Moreover, we also obtain a rotating charged black hole with weak Weyl corrections by the method of complex coordinate transformation. Our results show that the sign of Weyl coupling parameter α yields the different spatial topology of the event horizons for the black hole with its parameters lied in some special regions in the parameter space. We also analyze the dependence of the ergosphere on the Weyl coupling parameter α and find that with the increase of the Weyl corrections the ergosphere in the equatorial plane becomes thick for a black hole with α > 0, but becomes thin in the case with α < 0, which means that the energy extraction become easier in the background of a black hole with the positive Weyl coupling parameter, but more difficult in the background of a black hole with the negative one.

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Section: Introductionmentioning

confidence: 99%

Rotating charged black hole with Weyl corrections

Chen

Jing

2014

Phys. Rev. D

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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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“…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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Lovelock black holes with a nonlinear Maxwell field

Cited by 182 publications

References 125 publications

Rotating charged black hole with Weyl corrections

Rotating charged black hole with Weyl corrections

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

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