Kruglov Sergey Il'ich
Department of Physics, University of Toronto, 60 St. Georges St., Toronto, ON M5S 1A7, Canada.
Canadian Quantum Research Center, 204-3002 32 Ave., Vernon, BC V1T 2L7, Canada.
Entropy (Basel). 2024 Mar 14;26(3):261. doi: 10.3390/e26030261.
We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space are investigated. We obtain the mass and metric functions and the asymptotic and corrections to the Reissner-Nordström metric function when the cosmological constant vanishes. The first law of black hole thermodynamics in an extended phase space is formulated and the magnetic potential and the thermodynamic conjugate to the coupling are obtained. We prove the generalized Smarr relation. The heat capacity and the Gibbs free energy are computed and the phase transitions are studied. It is shown that the electric fields of charged objects at the origin and the electrostatic self-energy are finite within the nonlinear electrodynamics proposed.
我们研究在反德西特时空中与具有两个参数的非线性电动力学耦合的爱因斯坦引力。研究了扩展相空间中的磁荷黑洞。当宇宙学常数消失时，我们得到了质量和度规函数以及对雷斯纳 - 诺德斯特龙度规函数的渐近和修正。在扩展相空间中建立了黑洞热力学第一定律，并得到了磁势和与耦合的热力学共轭量。我们证明了广义斯马尔关系。计算了热容量和吉布斯自由能，并研究了相变。结果表明，在所提出的非线性电动力学中，原点处带电物体的电场和静电自能是有限的。
