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  4. Exact flavored black p-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
 
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Exact flavored black p-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
Dr. Concha-Aguilera, Patrick 
Facultad de Ingeniería 
Dra. Rodríguez-Durán, Evelyn 
Facultad de Ingeniería 
Henríquez-Baez, Carla
Vera, Aldo
10.1103/PhysRevD.107.124043
Purpose-Led Publishing
2023
In this paper, using the maximal embedding of SU(2) into SU(N) in the Euler angles parametrization, we construct a novel family of exact solutions of the Einstein SU(N)-Skyrme model. First, we present a hairy toroidal black hole in D ¼ 4 dimensions. This solution is asymptotically locally anti–de Sitter and is characterized by discrete hair parameters. Then, we perform a dimensional extension of the black hole to obtain black p-branes as solutions of the Einstein SU(N)-nonlinear sigma model in D ≥ 5 dimensions. These are homogeneous and topologically protected. Finally we show that, through a Wick rotation of the toroidal black hole, one can construct an exact self-gravitating instanton. The role that the flavor number N plays in the geometry and thermodynamics of these configurations is also discussed.
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