2022/08/30 by Carla Henríquez-Báez, Henríquez-Báez, Carla, Marcela Lagos +3
Physics and Astronomy · #Astrophysical Phenomena and Observations #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)
paper · pdf · doi:10.48550/arxiv.2208.14239
openalex publication_date 2022/08/30 · openalex created_date 2022/09/01 · openalex updated_date 2026/07/28
We construct analytical solutions describing black holes and black strings in the Einstein SU(N)-non-linear sigma model in (3+1) dimensions. This construction is carried out using the maximal embbeding ansatz of SU(2) together with the Euler parameterization of the SU(N) group, in such a way that the non-linear sigma model equations are automatically satisfied for arbitrary values of the flavor number N while the Einstein equations can be solved analytically. In particular, we construct black holes with spherical and flat horizons as well as black strings that present the geometry of a three-dimensional charged Bañados-Teitelboim-Zanelli black hole on the transverse section of the string. These configurations are not trivial embeddings of SU(2) into SU(N), which allow us to explicitly show the role that the flavor number plays on the geometry and thermodynamics of the black holes and black strings. Finally, we perform a thermal comparison between these configurations.