非线性电动力学下缓慢旋转AdS黑洞的性质与依赖分析

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本文探讨的是在宇宙常数存在的背景下，非线性电动力学（Nonlinear Electrodynamics, NED）与缓慢旋转黑洞之间的相互作用。研究者S.H. Hendi和M.Allahverdizadeh合作，基于爱因斯坦-NED引力理论中的静态解作为基础，通过引入角动量作为扰动参数，对4维黑洞进行了线性扰动，从而得到了新的缓慢旋转黑洞解。这些解的特点是渐近AdS（Anti-de Sitter，负曲率的宇宙模型），具有球形拓扑结构。作者首先考虑了带有电荷的黑洞，其旋转速度相对较慢，这使得非线性效应相对显著。他们关注的是这些黑洞的物理性质，如质量、电荷、角动量以及与非线性参数β的关系。非线性电动力学在经典广义相对论中引入了一种全新的电场行为，它打破了传统线性电动力学的约束，允许更强的自相互作用。在文中，作者特别强调了当非线性参数β趋向于无穷大时，解的行为特征，这时的解可以被视为一种特殊的缓慢旋转AdS型黑洞。这种极限情况下的分析有助于理解非线性电动力学如何影响黑洞的形态和物理特性，尤其是在极端条件下。文章的开放获取性质意味着研究成果可以不受限制地被广泛传播和引用，这在科学界鼓励知识共享和交流。此外，文章的学术编辑Rong-Gen Cai对论文进行了审阅，并在2014年8月20日予以发表，资助方为SCOAP3，这表明了研究者对同行评审过程的尊重和对学术出版的重视。这篇研究深入探讨了非线性电动力学与宇宙常数下缓慢旋转黑洞的耦合现象，提供了对这些特殊黑洞性质的新见解，对于理解极端环境下的引力和电磁场行为具有重要意义。通过这种方式，作者不仅扩展了我们对基本物理理论的理解，也为未来的黑洞理论和实验提供了可能的研究方向。

Research Article

Slowly Rotating Black Holes with Nonlinear Electrodynamics

S. H. Hendi

1,2

and M. Allahverdizadeh

Physics Department and Biruni Observatory, College of Sciences, Shiraz University, Shiraz 71454, Iran

Center for Excellence in Astronomy & Astrophysics of Iran (CEAAI-RIAAM), P.O. Box 55134-441, Maragha, Iran

Korea Institute of Science and Technology, Center for Functional Connectomics, Seoul 136-791, Republic of Korea

Correspondence should be addressed to S. H. Hendi; hendi@shirazu.ac.ir

Received 13 May 2014; Accepted 15 July 2014; Published 20 August 2014

Academic Editor: Rong-Gen Cai

Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is

properly cited. e publication of this article was funded by SCOAP

We study charged slowly rotating black hole with a nonlinear electrodynamics (NED) in the presence of cosmological constant.

Starting from the static solutions of Einstein-NED gravity as seed solutions, we use the angular momentum as the perturbative

parameter to obtain slowly rotating black holes. We perform the perturbations up to the linear order for black holes in 4 dimensions.

ese solutions are asymptotically AdS and their horizon has spherical topology. We calculate the physical properties of these black

holes and study their dependence on the rotation parameter as well as the nonlinearity parameter . In the limit →∞,the

solution describes slowly rotating AdS type black holes.

1. Introduction

e Reissner-Nordstr

om (RN) solution is the static solution

of the Einstein-Maxwell gravity. ese solutions are asymp-

totically at and their horizon has spherical topology. is

black hole can be characterized by its mass and electric charge

andthegeometryoftheRNblackholeissingularatthe

origin of the radial coordinate. So, people were searching

to construct a good regular alternative for it. For several

decades a great deal of attention has been focused on some

gravitating NED as regular generalizations of the RN solution

of the Einstein-Maxwell gravity, in which the most popular

example is the gravitating Born-Infeld (BI) theory [1–4]. On

the other hand, theories such as the theory of black objects,

with a logarithmic electrodynamic Lagrangian coupled to

gravity,havebeenstudiedinanattempttoremovesome

of the singularities associated with a charged black hole

[5]. e divergence of the energy-momentum tensor was

successfully removed, although the spacetime still exhibited

a curvature singularity, albeit of a weaker variety. Some

other NED models supporting asymptotically Schwarzschild-

like solutions have been also considered in the literature

[5–7]. One can look for regular solutions with nonlinear

electromagnetic elds of the Born-Infeld type [8–12].

On the other hand, exact solutions for charged static

black holes with NED have been studied by many authors

(see, e.g., [5, 11, 13–18]). is showed that the presence of

the NED has important consequences for the black hole

properties which motivate us to investigate charged black

holeswithNED,forinstance,variouslimitationsofthe

linear electrodynamics [19, 20], clarication of the self-

interaction of virtual electron-positron pairs [21–23], and

description of radiation propagation inside specic materials

[24–27]. Moreover, from astrophysical point of view, one

nds the eects of NED become indeed quite important in

superstrongly magnetized compact objects, such as pulsars,

and particular neutron stars (some examples include the

so-called magnetars and strange quark magnetars) [28–30].

Also, NED modies in a fundamental basis the concept of

gravitational redshi and its dependency of any background

magnetic eld as compared to the well-established method

introduced by standard general relativity. In addition, it was

recently shown that NED objects can remove both of the

big bang and black hole singularities [31–36]. Furthermore,

it was shown that the nonlinearity may change the geometric

properties of the black hole horizon(s). For example, unlike

charged black holes in Einstein-Maxwell gravity, there is

a new situation of black hole horizon in the presence of

nonlinear electrodynamics (see [11] for more details). Finally

Hindawi Publishing Corporation

Advances in High Energy Physics

Volume 2014, Article ID 390101, 7 pages

http://dx.doi.org/10.1155/2014/390101

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