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
ISSN
17936632
Abstract
In the present study, the authors focus their attention oninvestigating black hole solutions with the rainbow deformed metricin the presence of the exponential form of the nonlinearelectrodynamics with asymptotic Reissner-Nordström features. Forthis purpose, they calculate the exact solution of the metric function andexplore the geometrical features in the background of massive gravity.Making use of the obtained solution, the authors confirm theexistence of a singularity in proper limits and investigatethe thermodynamic properties of the solutions by checking the validityof the first law of thermodynamics. Moreover, they (i) explore theconditions under which the system is thermally stable from the heatcapacity and the Gibbs free energy and (ii) discuss the possiblephase transition and the criticality of the system. In conclusion, thisstudy mainly points out the role of gravity's rainbow in easing out asingularity as a pathology of the spacetime and helping it to graduallyevolve into a stable configuration.