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Main Authors: Henríquez-Baez, Carla, Lagos, Marcela, Rodríguez, Evelyn, Vera, Aldo
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2412.12343
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author Henríquez-Baez, Carla
Lagos, Marcela
Rodríguez, Evelyn
Vera, Aldo
author_facet Henríquez-Baez, Carla
Lagos, Marcela
Rodríguez, Evelyn
Vera, Aldo
contents In this paper, we construct an exact solution of the Einstein $SU(N)$-Skyrme model in $D=4$ space-time dimensions describing a charged and rotating black hole with toroidal horizon. Rotation is added by applying an improper coordinate transformation to the known static toroidal black hole with Skyrme hair, while the electric charge is supplemented by considering a $U(1)$ gauge field interacting with Einstein gravity. We perform the thermal analysis in the grand canonical ensemble, explicitly showing the role that the flavor number plays. Some discussions about stability are also considered.
format Preprint
id arxiv_https___arxiv_org_abs_2412_12343
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Exact charged and rotating toroidal black hole in the Einstein $SU(N)$-Skyrme model
Henríquez-Baez, Carla
Lagos, Marcela
Rodríguez, Evelyn
Vera, Aldo
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Nuclear Theory
In this paper, we construct an exact solution of the Einstein $SU(N)$-Skyrme model in $D=4$ space-time dimensions describing a charged and rotating black hole with toroidal horizon. Rotation is added by applying an improper coordinate transformation to the known static toroidal black hole with Skyrme hair, while the electric charge is supplemented by considering a $U(1)$ gauge field interacting with Einstein gravity. We perform the thermal analysis in the grand canonical ensemble, explicitly showing the role that the flavor number plays. Some discussions about stability are also considered.
title Exact charged and rotating toroidal black hole in the Einstein $SU(N)$-Skyrme model
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Nuclear Theory
url https://arxiv.org/abs/2412.12343