In light of the growing interest in the Hayward black hole solution, a detailed study on the corresponding lapse function and its roots is presented. The lapse function is expressed in terms of the classical Schwarzschild radius r _s and the Hayward’s parameter l. Both of these quantities are used as thermodynamic variables to find related thermodynamic quantities. In this context, the variable l is associated with a canonical conjugate variable , and a free energy Ξ. Moreover, a second order phase transition is found to appears at l ≈ 0.333r _s.

中文翻译：

---

关于海沃德黑洞的热力学

鉴于人们对海沃德黑洞解的兴趣日益浓厚，本文对相应的失效函数及其根源进行了详细研究。失效函数用经典 Schwarzschild 半径r _s和海沃德参数l 表示。这两个量都用作热力学变量来查找相关的热力学量。在这种情况下，变量l与典型共轭变量和自由能 Ξ 相关联。此外，发现在l ≈ 0.333 r _s处出现二阶相变。