arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.10845gr-qc
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基于非线性电动力学的双子和磁化黑洞

Dyonic and magnetized black holes based on nonlinear electrodynamics

S. I. Kruglov

摘要:

提出了一种新的二维参数非线性电动力学模型。研究了真空双折射现象、因果性原理和么正性原理。证明了点状电荷中心的电场不存在奇点。修正库仑定律为$r\rightarrow\infty$。双电子和磁化的黑洞被认为是。我们表明,在自对偶的情况下,当电荷等于磁荷,修正库仑定律和Reissner $-$ Nordström解决方案是缺席。给出了磁黑洞的度规函数及其渐近解$r\rightarrow\infty$.我们计算了有限的黑洞的磁质量。研究了黑洞的热力学性质和热稳定性。我们计算了黑洞的Hawking温度、热容和Helmholtz自由能,并证明了在某些参数下存在二级相变。证明了在一定的参数范围内,黑洞是稳定的。

英文摘要:

We propose a new model of nonlinear electrodynamics with two dimensional parameters. The phenomenon of vacuum birefringence, the principles of causality and unitarity were studied. It was shown that there is no a singularity of the electric field in the center of point-like charges. Corrections to the Coulomb law as $r\rightarrow\infty$ were obtained. Dyonic and magnetized black holes are considered. We show that in the self-dual case, when the electric charge equals the magnetic charge, corrections to Coulomb's law and Reissner$-$Nordström solutions are absent. The metric function and its asymptotic as $r\rightarrow\infty$ for magnetic black holes were evaluated. We calculate the magnetic mass of the black hole which is finite. The thermodynamic properties and thermal stability of black holes were investigated. We calculated the Hawking temperature, the heat capacity and the Helmholtz free energy of black holes and shown that at some parameters there are second-order phase transitions. It was demonstrated that at some range of parameters the black holes are stable.

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