标题： 幂律AdS黑洞中的热力学极值：普遍视角 显示英文标题

标题： Thermodynamic Extremality in Power-law AdS Black Holes A Universal Perspective

摘要： 本研究探讨了在Power-Maxwell、Power-Yang-Mills和Maxwell-Power-Yang-Mills黑洞框架下提出的Goon和Penco（GP）之间的普遍关系。 我们首先分析这些黑洞的热力学性质，然后通过扰动作用量来计算扰动度规和热力学量。我们的目标是检验GP关系在场方程的各种幂律项中的一致性，以深入理解这些黑洞的本质。 GP联系在不同的幂时空上仍然稳健，表明这种关系是黑洞的一个普遍特性。 显示英文摘要

摘要： This study investigates the universal relation between Goon and Penco (GP) proposed within the frameworks of Power-Maxwell, Power-Yang-Mills, and Maxwell-Power-Yang-Mills black holes. We begin by analyzing these black holes' thermodynamics and then calculating the perturbed metric and thermodynamic quantities by perturbing the action. Our objective is to examine the consistency of the GP relation across various power-law terms in the field equations, aiming to gain deeper insights into the nature of these black holes. The GP connection remains robust across different power spacetimes, indicating that this relation is a universal feature of black holes.