Adiabatic evolution of Hayward black hole

In this letter we use the Caratheodory's approach to thermodynamics, to construct the thermodynamic manifold of the Hayward black hole. The Pfaffian form representing the infinitesimal heat exchange reversibly is considered to be delta Q(rev) equivalent to dr(s) - F(H)dl, previously obtained by Molina & Villanueva [1], where r(s) is the Schwarzschild radius, l is the Hayward's parameter responsible for the possible regularization of the Schwarzschild black hole, and F-H is the intensive variable called the Hayward's force. By solving the associated Cauchy problem, the adiabatic paths are confined to the non-extremal manifold, and therefore, the status of the second and third laws are preserved. Consequently, the extremal sub-manifold corresponds to the adiabatically disconnected boundary of the manifold. In addition, the merger of two extremal Hayward black holes is analyzed. (C) 2021 The Authors. Published by Elsevier B.V.

Automated summary

In this study, Caratheodory's approach to thermodynamics was used to construct the thermodynamic manifold of the Hayward black hole. By solving the associated Cauchy problem, adiabatic paths were confined to the non-extremal manifold, preserving the status of the second and third laws. Furthermore, the merger of two extremal Hayward black holes was analyzed.