非线性电动力学模型框架下的荷磁黑洞
Magnetically charged black hole in framework of nonlinear electrodynamics model
摘要：
提出并研究了广义相对论中的非线性电动力学模型。我们考虑磁黑洞，并找到一个正规的解决方案，给予Reissner-Nordström解决方案的修正。在$r\rightarrow\infty$，渐近时空变得平坦。计算了该黑洞的磁质量，得到了度规函数。在模型参数的某些值处，可以有一个、两个或没有层位。研究了黑洞的热力学，计算了黑洞的Hawking温度和热容。结果表明，存在二级相变。在模型的某些参数下，黑洞是稳定的。
英文摘要：
A model of nonlinear electrodynamics is proposed and investigated in general relativity. We consider the magnetic black hole and find a regular solution which gives corrections into the Reissner-Nordström solution. At $r\rightarrow\infty$ the asymptotic spacetime becomes flat. The magnetic mass of the black hole is calculated and the metric function is obtained. At some values of the model parameter there can be one, two or no horizons. Thermodynamics of black holes is studied and we calculate the Hawking temperature and heat capacity of black holes. It is demonstrated that there is a phase transition of second order. At some parameters of the model black holes are thermodynamically stable.
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