Publication: Exact charged and rotating toroidal black hole in the 𝑆𝑈(𝑁) Einstein-Skyrme model
Date
2025
Authors
Henríquez-Baez, Carla
Lagos, Marcela
Dra. Rodríguez-Durán, Evelyn
Vera, Aldo
Journal Title
Journal ISSN
Volume Title
Publisher
American Physical Society
Abstract
In this paper, we construct an exact solution of the 𝑆𝑈(𝑁) Einstein-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.
Description
Keywords
Classical black holes, Effective field theory, General relativity equations & solutions