Higher-order corrections to mass-charge relation of extremal black holes

We derive electrically charged black hole solutions of the Einstein-Gauss-Bonnet equations with a nonlinear electrodynamics source in n(≥ 5) dimensions. The spacetimes are given as a warped product M 2 × K n−2 , where K n−2 is a (n − 2)-dimensional constant curvature space. We establish a generalized Birkhoff's theorem by showing that it is the unique electrically charged solution with this isometry and for which the orbit of the warp factor on K n−2 is non-null. An extension of the analysis for full Lovelock gravity is also achieved with a particular attention to the Chern-Simons case.

show abstract

“…In this setting, we obtain the following solution for the Ansatz (2.9) 11) for q = 1/2, where C is a constant and where we have defined…”

Section: Gauss-bonnet Black Holes With a Nonlinear Electrodynamicmentioning

confidence: 99%

“…The Gauss-Bonnet black holes with the higher F -terms have been investigated in [11]. Our action (1.3) may be considered as the simplest model of such higher F -terms.…”

Section: Introductionmentioning

confidence: 99%

Lovelock black holes with a nonlinear Maxwell field

2009

View full text Add to dashboard Cite

show abstract

“…The primary motivation for introducing nonlinear electrodynamics was to remove the divergences in the self-energy of point-like charged particles [24]. However, they have earned renewed attention over past several years since these theories naturally arise in the low-energy limit of the heterotic string theory [25,26]. Recently, the response of a holographic superconductor to an external magnetic field in the presence of Born-Infeld nonlinear electrodynamics was investigated by applying a simple analytical approach based on the matching of the solutions to the field equations near the horizon and near the asymptotic AdS region [27].…”

Section: Introductionmentioning

confidence: 99%

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Sheykhi

Shamsi

2016

Int J Theor Phys

View full text Add to dashboard Cite

Based on the matching method, we explore the effects of adding an external magnetic field on the s-wave holographic superconductor when the gauge field is in the form of the logarithmic nonlinear source. First, we obtain the critical temperature as well as the condensation operator in the presence of logarithmic nonlinear electrodynamics and understand that they depend on the nonlinear parameter b. We show that the critical temperature decreases with increasing b, which implies that the nonlinear gauge field makes the condensation harder. Then, we turn on the magnetic field in the bulk and find the critical magnetic field, B c , in terms of the temperature, which also depends on the nonlinear parameter b. We observe that for temperature smaller than the critical temperature, T < T c , the critical magnetic field increases with increasing b and goes to zero as T → T c , independent of the nonlinear parameter b. In the limiting case where b → 0, all results restore those of the holographic superconductor with magnetic field in Maxwell theory.

show abstract

“…Indeed, in the low-energy limit of the ten-dimensional E 8 × E 8 or SO(32) heterotic string theory with a constant dilaton φ 0 and turning off the higher form fields, the following Lagrangian is realized [3,13]: 5) where the constant α ′ stands for the inverse string tension. The above Lagrangian is a particular case of the one considered here (2.1) with n = 10, Λ = 0, α = α ′ h/8, c 1 = −3α ′ hκ 2 10 /64(< 0), and…”

Section: Preliminariesmentioning

confidence: 99%

Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

Maeda

Hassaı̈ne

Martínez

2010

J. High Energ. Phys.

View full text Add to dashboard Cite

We obtain magnetic black-hole solutions in arbitrary n(≥ 4) even dimensions for an action given by the Einstein-Gauss-Bonnet-Maxwell-Λ pieces with the F 4 gauge-correction terms. This action arises in the low energy limit of heterotic string theory with constant dilaton and vanishing higher form fields. The spacetime is assumed to be a warped product M 2 × K n−2 , where K n−2 is a (n − 2)-dimensional Einstein space satisfying a condition on its Weyl tensor, originally considered by Dotti and Gleiser. Under a few reasonable assumptions, we establish the generalized JebsenBirkhoff theorem for the magnetic solution in the case where the orbit of the warp factor on K n−2 is non-null. We prove that such magnetic solutions do not exist in odd dimensions. In contrast, in even dimensions, we obtain an explicit solution in the case where K n−2 is a product manifold of (n − 2)/2 two-dimensional maximally symmetric spaces with the same constant warp factors. In this latter case, we show that the global structure of the spacetime sharply depends on the existence of the gauge-correction terms as well as the number of spacetime dimensions.

show abstract

Higher-order corrections to mass-charge relation of extremal black holes

Cited by 218 publications

References 20 publications

Lovelock black holes with a nonlinear Maxwell field

Lovelock black holes with a nonlinear Maxwell field

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Magnetic black holes with higher-order curvature and gauge corrections in even dimensions

Contact Info

Product

Resources

About