New torsional deformations of locally AdS.sub.3./sub. space

0581890 - FZÚ 2024 RIV US eng J - Journal Article
Andrianopoli, L. - Cerchiai, B.L. - Noris, Ruggero - Ravera, L. - Trigiante, M. - Zanelli, J.
New torsional deformations of locally AdS₃ space.
Physical Review D. Roč. 108, č. 4 (2023), č. článku 044011. ISSN 2470-0010. E-ISSN 2470-0029
R&D Projects: GA ČR(CZ) GX20-25775X
Institutional support: RVO:68378271
Keywords : dimension: 3 * torsion * deformation * anti-de Sitter, * black hole: BTZ * singularity
OECD category: Particles and field physics
Impact factor: 5, year: 2022
Method of publishing: Open access

We consider general torsion components in three-dimensional Einstein-Cartan gravity, providing a geometrical interpretation for matter, and find new solutions of the corresponding equations for the Riemann curvature and torsion. These geometries involve a peculiar interplay between the vector (βi) and the singlet (τ) irreducible components of the torsion which, under general conditions, feature a formal analogy with the equation for a Beltrami fluid. Interestingly, we find that the local AdS3 geometry is now deformed by effect of the “Beltrami-torsion” βi. Some of these new solutions describe deformations of the Bañados, Teitelboim, Zanelli black hole due to the presence of torsion. The latter acts as a geometric flux which, in some cases, removes the causal singularity.
Permanent Link: https://hdl.handle.net/11104/0350032