Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion

S. I. Kruglov
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Abstract

We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier. The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole solutions can have one or two horizons. Thermodynamics and phase transitions of magnetically charged black holes in Anti-de Sitter spacetime are investigated. The first law of black hole thermodynamics is formulated and the generalized Smarr relation is proofed. By calculating the Gibbs free energy and heat capacity we study the black hole stability. Zero-order (reentrant), first-order, and second-order phase transitions are analysed. The Joule--Thomson expansion is considered showing the cooling and heating phase transitions. It was shown that the principles of causality and unitarity are satisfied in the model under consideration.
与非线性电动力学耦合的爱因斯坦-AdS 引力、磁性黑洞、扩展相空间中的热力学和焦耳-汤姆森膨胀
我们研究了爱因斯坦负宇宙常数引力与早先提出的非线性电动力学的耦合。我们得到了Reissner--Nordstr/"{o}m解的度量和质量函数及修正。黑洞解可以有一个或两个视界。提出了黑洞热力学第一定律,并证明了广义斯马尔关系。通过计算吉布斯自由能和热容,我们研究了黑洞的稳定性。分析了零阶(重入)、一阶和二阶相变。考虑了焦耳-汤姆森膨胀,显示了冷却和加热相变。结果表明,所考虑的模型满足因果性和单一性原则。
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