标题： 四维$D$爱因斯坦-高斯-邦尼特大质量引力与非线性电动力学耦合的磁性黑洞 显示英文标题

标题： Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics

摘要： 我们研究了在反德西特（AdS）背景中与非线性电动力学（NED）耦合的爱因斯坦-高斯-博内（EGB）4D质量引力，并找到了一个精确的磁荷黑洞解。 对于质量引力参数的不同值，分析了度规函数。 我们验证了黑洞热力学的第一定律和广义Smarr公式，将宇宙学常数视为热力学压力。 真空极化被定义为NED参数的共轭。 为了分析黑洞的局部稳定性，我们计算了比热。 我们研究了黑洞的范德华/再进入相变，并估计了临界点。 我们观察到了小/大黑洞（SBH/LBH）和小/中间/大黑洞（SBH/IBH/LBH）的相变。 焦耳-汤姆逊系数、反转和等焓曲线被讨论。 最后，使用数值技术得到了最小反转温度和相应的事件视界半径。 显示英文摘要

摘要： We investigate Einstein-Gauss-Bonnet (EGB) 4D massive gravity coupled to nonlinear electrodynamics (NED) in an Anti-de-Sitter (AdS) background and find an exact magnetically charged black hole solution. The metric function was analyzed for different values of massive gravity parameters. We verified the first law of black hole thermodynamics and the generalized Smarr formula, treating the cosmological constant as thermodynamic pressure. Vacuum polarization is defined as the conjugate to the NED parameter. To analyze the local stability of the black hole, we compute specific heat. We investigated the Van der Waals-like/reentrant phase transition of the black holes and estimated the critical points. We observed small/large black hole (SBH/LBH) and small/intermediate/large black hole (SBH/IBH/LBH) phase transitions. The Joule-Thomson coefficient, inversion, and isenthalpic curves are discussed. Finally, the minimum inversion temperature and the corresponding event horizon radius are obtained using numerical techniques.