爱因斯坦-AdS引力耦合非线性电动力学、磁黑洞、扩展相空间热力学与焦耳-汤姆逊膨胀
Einstein-AdS gravity coupled to nonlinear electrodynamics, magnetic black holes, thermodynamics in an extended phase space and Joule--Thomson expansion
AI总结：
本文研究负宇宙学常数下爱因斯坦引力耦合非线性电动力学的磁黑洞，构建扩展相空间热力学并分析重入、一阶、二阶相变及焦耳-汤姆逊膨胀行为，验证模型满足因果性与幺正性。
摘要：
我们研究了具有负宇宙学常数的爱因斯坦引力与先前提出的非线性电动力学的耦合。得到了度规、质量函数以及对Reissner-Nordström解的修正。黑洞解可以具有一个或两个视界。研究了反德西特时空中磁荷黑洞的热力学和相变。建立了黑洞热力学第一定律，并证明了广义Smarr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-汤姆逊膨胀，展示了冷却和加热相变。结果表明，在所考虑的模型中，因果性和幺正性原理得到满足。
英文摘要：
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--Nordström 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.
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