2017/05/31 by A. Eghbali, Ali Eghbali, L. Mehran-nia +1 · 21 citations
Mathematics · Physics and Astronomy · #Astrophysics #BTZ black hole #Black Holes and Theoretical Physics #Charged black hole #Cosmology and Gravitation Theories #Extremal black hole #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Poisson distribution #Pure mathematics #Quantum mechanics #Sigma #Statistics #hep-th
paper · pdf · open access · doi:10.1016/j.physletb.2017.07.044
published in Physics Letters B 772, 791-799 (Elsevier BV) · 20 pages
openalex created_date 2017/05/12 · openalex publication_date 2017/07/26 · arxiv created 2017/08/04 · arxiv updated 2017/09/25 · openalex updated_date 2026/08/05
The non-Abelian T-dualization of the BTZ black hole is discussed in detail by using the Poisson–Lie T-duality in the presence of spectators. We explicitly construct a dual pair of sigma models related by Poisson–Lie symmetry. The original model is built on a 2+1-dimensional manifold M≈O×G, where G as a two-dimensional real non-Abelian Lie group acts freely on M, while O is the orbit of G in M. The findings of our study show that the original model indeed is canonically equivalent to the SL(2,R) Wess–Zumino–Witten (WZW) model for a given value of the background parameters. Moreover, by a convenient coordinate transformation we show that this model describes a string propagating in a spacetime with the BTZ black hole metric in such a way that a new family of the solutions to low energy string theory with the BTZ black hole vacuum metric, constant dilaton field and a new torsion potential is found. The dual model is built on a 2+1-dimensional target manifold M˜ with two-dimensional real Abelian Lie group G˜ acting freely on it. We further show that the dual model yields a three-dimensional charged black string for which the mass M and axion charge Q per unit length are calculated. After that, the structure and asymptotic nature of the dual space–time including the horizon and singularity are determined.