On the thermodynamics of the Hayward black hole

Abstract

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 ${\mathcal{F}}_H$, and a free energy $\Xi$. Moreover, a second order phase transition is found to appears at $l\approx 0.333r_s$.

Accepted for publication in Class. Quantum Grav

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