New Torsional Deformations of Locally AdS$_3$ Space
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912100946804736 |
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| author | Andrianopoli, Laura Cerchiai, Bianca Letizia Noris, Ruggero Ravera, Lucrezia Trigiante, Mario Zanelli, Jorge |
| author_facet | Andrianopoli, Laura Cerchiai, Bianca Letizia Noris, Ruggero Ravera, Lucrezia Trigiante, Mario Zanelli, Jorge |
| contents | 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 $(β_i)$ 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 AdS$_3$ geometry is now deformed by effect of the "Beltrami-torsion" $β_i$. Some of these new solutions describe deformations of the BTZ black hole due to the presence of torsion. The latter acts as a geometric flux which, in some cases, removes the causal singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17168 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New Torsional Deformations of Locally AdS$_3$ Space Andrianopoli, Laura Cerchiai, Bianca Letizia Noris, Ruggero Ravera, Lucrezia Trigiante, Mario Zanelli, Jorge High Energy Physics - Theory 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 $(β_i)$ 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 AdS$_3$ geometry is now deformed by effect of the "Beltrami-torsion" $β_i$. Some of these new solutions describe deformations of the BTZ black hole due to the presence of torsion. The latter acts as a geometric flux which, in some cases, removes the causal singularity. |
| title | New Torsional Deformations of Locally AdS$_3$ Space |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2305.17168 |