2021/01/31 by Mohsen Fathi, Martín Molina, J. R. Villanueva · 10 citations
Physics and Astronomy · #Adiabatic process #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Combinatorics #Cosmology and Gravitation Theories #General relativity #Gravitation #Manifold (fluid mechanics) #Mathematical physics #Pfaffian #Physics #Quantum mechanics #RADIUS #Schwarzschild metric #Schwarzschild radius #astro-ph.HE #gr-qc
paper · pdf · doi:10.1016/j.physletb.2021.136548
published in Physics Letters B 820, 136548 (Elsevier BV)
openalex publication_date 2021/07/27 · arxiv created 2021/08/03 · arxiv updated 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 δQrev≡drs−FHdl, previously obtained by Molina & Villanueva [1], where rs is the Schwarzschild radius, l is the Hayward's parameter responsible for the possible regularization of the Schwarzschild black hole, and FH 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.