非线性电动力学磁化黑洞的扩展相空间热力学
Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics
AI总结：
本文研究AdS空间中与非线性电动力学耦合的磁荷黑洞，推导其度规与质量函数，证明扩展相空间中热力学第一定律和广义Smarr关系，并计算磁势、真空极化、吉布斯自由能及热容量。
摘要：
研究了AdS空间中与具有两个参数的非线性电动力学（NED）耦合的爱因斯坦引力。我们研究了磁荷黑洞。得到了度规和质量函数及其渐近行为，表明黑洞可能有一个或两个视界。研究了扩展相空间中的热力学，并证明了黑洞热力学第一定律和广义Smarr关系成立。计算并描绘了与耦合（NED参数）共轭的磁势和真空极化。我们计算了吉布斯自由能和热容量。
英文摘要：
Einstein's gravity in AdS space coupled to nonlinear electrodynamics (NED) with two parameters is studied. We investigate magnetically charged black holes. The metric and mass functions and their asymptotic are obtained showing that black holes may have one or two horizons. Thermodynamics in extended phase space was studied and it was proven that the first law of black hole thermodynamics and the generalized Smarr relation hold. The magnetic potential and the vacuum polarization conjugated to coupling (NED parameter), are computed and depicted. We calculate the Gibbs free energy and heat capacity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
