New black hole solutions in f(P) gravity and their thermodynamic nature - INSPIRE

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New black hole solutions in f(P) gravity and their thermodynamic nature

Nov 4, 2024

Published in:

Phys.Lett.B 862 (2025) 139305

Published: Feb 11, 2025

e-Print:

2411.02119 [gr-qc]

DOI:

10.1016/j.physletb.2025.139305 (publication)

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Abstract: (Elsevier B.V.)

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 non-linear 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.

Note:

Accepted for publication in Physics Letters B

Black hole
Modified gravity
Thermodynamic

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