Thermodynamics of KerrSenAdS black holes in the restricted phase space
Abstract
We analyze the restricted phasespace thermodynamics (RPST) of KerrSenAdS black holes with the central charge C and its conjugate chemical potential μ but exclude the familiar P d V term in the first law of black hole thermodynamics. That gives rise to a new perspective on the thermodynamics of black holes. Using the scaling properties, we investigate the first law and the corresponding Euler formula. Such formalism has its beauty; for example, the mass is considered to be a homogeneous function of the extensive variables in the first order. In contrast, the intensive variables are of zeroth order. Because of the complicated expressions of the metric, we numerically calculate the critical values of the thermodynamic quantities. We find the phasetransition behavior of the free energy and other thermodynamic conjugate variables that appear in the first law. The RPST of the KerrSenAdS black holes is like that of the ReissnerNordströmAdS and the KerrAdS black holes. Such notions of the phase transition behavior show that there should be some underlying universality in the RPST formalism.
 Publication:

Physical Review D
 Pub Date:
 August 2023
 DOI:
 10.1103/PhysRevD.108.044045
 arXiv:
 arXiv:2308.00489
 Bibcode:
 2023PhRvD.108d4045A
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 15 pages, 6 figures, Accepted for publication in Physical Review D