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Flat Horizon D-Dimensional Black Holes in the Cubic Form of f(Q) Theory
Version 1
: Received: 10 January 2024 / Approved: 17 January 2024 / Online: 17 January 2024 (14:54:26 CET)
A peer-reviewed article of this Preprint also exists.
Nashed, G.G.L. Solutions with a Flat Horizon in D Dimensions within the Cubic Form of f(Q) Gravity. Symmetry 2024, 16, 219. Nashed, G.G.L. Solutions with a Flat Horizon in D Dimensions within the Cubic Form of f(Q) Gravity. Symmetry 2024, 16, 219.
Abstract
Given the AdS/CFT relationship, the study of higher-dimensional AdS black holes is extremely important. Furthermore, since the restriction derived from $f(Q)$'s field equations which prevents it from deriving spherically symmetric black hole solutions, the result is either $Q'=0$ or $f_{QQ}=0$. We derive static anti-de-Sitter black holes in $D$-dimensions using the cylindrical coordinate in the framework of the cubic form of $f(Q)$ gravity, where the coincident gauge condition is imposed \cite{Heisenberg:2023lru,Maurya:2023muz}. Within this study we are going to use the power-law ansatz which is the most viable according to observations where $f(Q)=Q+\frac{1}2\gamma Q^2+\frac{1}3\gamma Q^3-2\Lambda$, and the condition $D \geq 4$ is satisfied. Since these solutions lack a general relativity limit, they belong to a brand-new solution class, the characteristics of which are derived only from the non-metricity $Q$ modification. We investigate the singularities of the solutions by computing the values of different curvature and non-metricity invariants. We discover that the solutions indeed have a central singularity, but because of the f(Q) impact, it is softer than in the typical general relativity case. In conclusion, we compute thermodynamic parameters such as Gibbs free energy, Hawking temperature, and entropy. These thermodynamic calculations confirm that our model is stable.
Keywords
f(Q); black holes; stability
Subject
Physical Sciences, Astronomy and Astrophysics
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.
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