论文标题
基于非线性电动力学的二射和磁化黑洞
Dyonic and magnetized black holes based on nonlinear electrodynamics
论文作者
论文摘要
我们提出了一个具有二维参数的非线性电动力学的新模型。真空双折射的现象，研究了因果关系和单位性的原理。结果表明，在点状电荷的中心没有电场的奇异性。获得了库仑法律为$ r \ rightarrow \ infty $的更正。考虑到对照黑孔和磁化黑洞。我们表明，在自动划分的情况下，当电荷等于磁性电荷时，库仑定律的校正和reissner $ - $nordström解决方案就不存在。评估了用于磁性黑洞的$ r \ rightarrow \ infty $的度量函数及其渐近函数。我们计算有限的黑洞的磁质量。研究了黑洞的热力学特性和热稳定性。我们计算了黑洞的鹰温度，热容量和赫尔姆霍尔兹自由能，并表明在某些参数下，有二阶相变。已经证明，在某些范围内，黑洞是稳定的。
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.
