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Exact charged and rotating toroidal black hole in the Einstein SU(N)-Skyrme model

2024/12/16 by Carla Henríquez-Báez, Henríquez-Baez, Carla, Marcela Lagos +5
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2412.12343

openalex publication_date 2024/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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