Villanueva, JoséJoséVillanuevaMartín Molina2025-08-252025-08-252021-01-2010.1088/1361-6382/abdd472-s2.0-85104080930https://cris-uv-2.scimago.es/handle/123456789/3884WOS:000641030200001Abstract 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 .enacceso abiertoAstronomy And AstrophysicsPhysics, MultidisciplinaryPhysics, Particles And FieldsPhysics And Astronomyarticle