On the thermodynamics of the Hayward black hole
Martín Molina, J. R. Villanueva
Abstract
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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="script">F</mml:mi> </mml:mrow> <mml:mrow> <mml:mi mathvariant="normal">H</mml:mi> </mml:mrow> </mml:msub> </mml:math> , and a free energy Ξ. Moreover, a second order phase transition is found to appears at l ≈ 0.333 r s .