Adiabatic evolution of Hayward black hole

Abstract

In this letter we use the Carathéodory'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 $\delta Q_{\mathrm{rev}}\equiv \mathrm{d}{r}_s-{\mathcal{F}}_H\mathrm{d}l$, previously obtained by Molina \& Villanueva \cite{fmv20}, where $r_s$ is the Schwarzschild radius, $l$ is the Hayward's parameter responsible for the possible regularization of the Schwarzschild black hole, and ${\mathcal{F}}_H$ 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.

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Cited by in corpus (8)

• Thermodynamics and Shadows of GUP-corrected Black Holes with Topological Defects in Bumblebee Gravity
• On the thermodynamics of the Hayward black hole
• Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence
• Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Adiabatic analysis of the rotating BTZ black hole
• Carathéodory's thermodynamics of the Schwarzschild black hole surrounded by quintessence
• Gravitational Entropy of Hayward Black Hole