Version 1
: Received: 28 September 2021 / Approved: 29 September 2021 / Online: 29 September 2021 (12:03:25 CEST)
Version 2
: Received: 15 January 2023 / Approved: 16 January 2023 / Online: 16 January 2023 (02:44:45 CET)
How to cite:
Aounallah, H.; Zarei, H.; Rudra, P.; Majumder, B. Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background. Preprints2021, 2021090494. https://doi.org/10.20944/preprints202109.0494.v1
Aounallah, H.; Zarei, H.; Rudra, P.; Majumder, B. Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background. Preprints 2021, 2021090494. https://doi.org/10.20944/preprints202109.0494.v1
Aounallah, H.; Zarei, H.; Rudra, P.; Majumder, B. Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background. Preprints2021, 2021090494. https://doi.org/10.20944/preprints202109.0494.v1
APA Style
Aounallah, H., Zarei, H., Rudra, P., & Majumder, B. (2021). Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background. Preprints. https://doi.org/10.20944/preprints202109.0494.v1
Chicago/Turabian Style
Aounallah, H., Prabir Rudra and Barun Majumder. 2021 "Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background" Preprints. https://doi.org/10.20944/preprints202109.0494.v1
Abstract
In this paper, we explore the black hole solutions with rainbow deformed metric in the presence of exponential form of nonlinear electrodynamics with asymptotic Reissner-Nordstrom properties. We calculate the exact solution of metric function and explore the geometrical prop- erties in the background of massive gravity. From the obtained solution, the existence of the singularity is confirmed in proper limits. Using the solutions we also investigate the thermody- namic properties of the solutions by checking the validity of the first law of thermodynamics. Continuing the thermodynamic study, we investigate the conditions under which the system is thermally stable from the heat capacity and the Gibbs free energy. We also discuss the possible phase transition and the criticality of the system. It was found that the quantum gravitational effects of gravity’s rainbow render the thermodynamic system stable in the vicinity of the singu- larity. From the equation of state it was found that after diverging at the singularity, the system evolves asymptotically into pressure-less dust as one moves away from the central singularity.
Keywords
black holes; charged solutions; massive gravity; gravity's rainbow
Subject
Physical Sciences, Quantum Science and Technology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
