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Main Authors: Ghosh, Aniruddha, Debnath, Ujjal
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.02119
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author Ghosh, Aniruddha
Debnath, Ujjal
author_facet Ghosh, Aniruddha
Debnath, Ujjal
contents Black holes are the fascinating objects in the universe. They represent extreme deformations in spacetime geometry. Here, we construct f(P) gravity and the first example of static-spherically symmetric black hole solution in f(P) gravity and discuss their thermodynamics. Using the numerical approach and series solution, we discover the solution and demonstrate that it is a generalization of Schwarzschild. The solution is characterized by a single function that satisfies a nonlinear fourth order differential equation. Interestingly, we can analytically calculate the solution s specific heat, Wald entropy, and Hawking temperature as a function of horizon radius. After analyzing the specific heat, we discovered that the black hole is thermodynamically stable over a small horizon radius.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02119
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle New Black Hole Solutions in f(P) Gravity and their Thermodynamic Nature
Ghosh, Aniruddha
Debnath, Ujjal
General Relativity and Quantum Cosmology
Black holes are the fascinating objects in the universe. They represent extreme deformations in spacetime geometry. Here, we construct f(P) gravity and the first example of static-spherically symmetric black hole solution in f(P) gravity and discuss their thermodynamics. Using the numerical approach and series solution, we discover the solution and demonstrate that it is a generalization of Schwarzschild. The solution is characterized by a single function that satisfies a nonlinear fourth order differential equation. Interestingly, we can analytically calculate the solution s specific heat, Wald entropy, and Hawking temperature as a function of horizon radius. After analyzing the specific heat, we discovered that the black hole is thermodynamically stable over a small horizon radius.
title New Black Hole Solutions in f(P) Gravity and their Thermodynamic Nature
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.02119