학술논문
$P-V$ criticality of the nonlinear charged black hole solutions in massive gravity's rainbow.
Document Type
Journal
Author
Aounallah, Houcine (DZ-TEB-ST) AMS Author Profile; Zarei, Hayede (IR-SHIR-P) AMS Author Profile; Rudra, Prabir (6-ASUT) AMS Author Profile; Majumder, Barun (1-TN-NDM) AMS Author Profile; Farahani, Hoda (IR-DU-SP) AMS Author Profile
Source
Subject
83 Relativity and gravitational theory -- 83C General relativity
83C50Electromagnetic fields
83Relativity and gravitational theory -- 83D Relativistic gravitational theories other than Einstein's, including asymmetric field theories
83D05Relativistic gravitational theories other than Einstein's, including asymmetric field theories
83Relativity and gravitational theory -- 83E Unified, higher-dimensional and super field theories
83E05Geometrodynamics
83C50
83
83D05
83
83E05
Language
English
Abstract
In the present study, the authors focus their attention on investigating black hole solutions with the rainbow deformed metric in the presence of the exponential form of the nonlinear electrodynamics with asymptotic Reissner-Nordström features. For this purpose, they calculate the exact solution of the metric function and explore the geometrical features in the background of massive gravity. Making use of the obtained solution, the authors confirm the existence of a singularity in proper limits and investigate the thermodynamic properties of the solutions by checking the validity of the first law of thermodynamics. Moreover, they (i) explore the conditions under which the system is thermally stable from the heat capacity and the Gibbs free energy and (ii) discuss the possible phase transition and the criticality of the system. In conclusion, this study mainly points out the role of gravity's rainbow in easing out a singularity as a pathology of the spacetime and helping it to gradually evolve into a stable configuration.