New torsional deformations of locally <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math> space

نویسندگان

چکیده

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 Riemann curvature torsion. These geometries involve peculiar interplay between vector $(\beta_i)$ singlet $(\tau)$ irreducible which, under conditions, feature formal analogy with equation Beltrami fluid. Interestingly, we that local AdS$_3$ geometry is now deformed by effect "Beltrami-torsion" $\beta_i$. Some these describe deformations BTZ black hole due to presence The latter acts as geometric flux some cases, removes causal singularity.

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.108.044011