Thermodynamical properties of a deformed Schwarzschild black hole via Dunkl generalization

Fuente: arXiv
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Auteurs principaux: Sedaghatnia, P., Hassanabadi, H., Filho, A. A. Araújo, Porfírio, P. J., Chung, W. S.
Format: Preprint
Publié: 2023
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author Sedaghatnia, P.
Hassanabadi, H.
Filho, A. A. Araújo
Porfírio, P. J.
Chung, W. S.
author_facet Sedaghatnia, P.
Hassanabadi, H.
Filho, A. A. Araújo
Porfírio, P. J.
Chung, W. S.
contents In this paper, we construct a deformed Schwarzschild black hole from the de Sitter gauge theory of gravity within Dunkl generalization and we determine the metric coefficients versus Dunkl parameter and parity operators. Since the spacetime coordinates are not affected by the group transformations, only fields are allowed to change under the action of the symmetry group. A particular ansatz for the gauge fields is chosen and the components of the strength tensor are computed as well. Additionally, we analyze the modifications on the thermodynamic properties to a spherically symmetric black hole due to Dunkl parameters for even and odd parities. Finally, we verify a novel remark highlighted from heat capacity: the appearance of a phase transition when the odd parity is taken into account.
format Preprint
id arxiv_https___arxiv_org_abs_2302_11460
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Thermodynamical properties of a deformed Schwarzschild black hole via Dunkl generalization
Sedaghatnia, P.
Hassanabadi, H.
Filho, A. A. Araújo
Porfírio, P. J.
Chung, W. S.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
In this paper, we construct a deformed Schwarzschild black hole from the de Sitter gauge theory of gravity within Dunkl generalization and we determine the metric coefficients versus Dunkl parameter and parity operators. Since the spacetime coordinates are not affected by the group transformations, only fields are allowed to change under the action of the symmetry group. A particular ansatz for the gauge fields is chosen and the components of the strength tensor are computed as well. Additionally, we analyze the modifications on the thermodynamic properties to a spherically symmetric black hole due to Dunkl parameters for even and odd parities. Finally, we verify a novel remark highlighted from heat capacity: the appearance of a phase transition when the odd parity is taken into account.
title Thermodynamical properties of a deformed Schwarzschild black hole via Dunkl generalization
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
url https://arxiv.org/abs/2302.11460