3D gravity with propagating torsion: the AdS sector

TL;DR

This paper investigates a three-dimensional gravity model with propagating torsion in the AdS sector, revealing black hole solutions with torsion and analyzing their conserved charges and conformal symmetry properties.

Contribution

It introduces a parity-preserving 3D gravity model with propagating torsion, identifying black hole solutions and analyzing their nonlinear dynamics and asymptotic symmetries.

Findings

Existence of black hole solutions with torsion in the model

Conserved charges and central charges are derived for the AdS sector

Restrictions on coupling constants are necessary for black hole solutions

Abstract

We study the general parity-preserving model of three-dimensional gravity with propagating torsion, with a focus on its nonlinear dynamics in the AdS sector. The model is shown to posses the black hole with torsion as a vacuum solution, provided we adopt certain restrictions on its coupling constants. The canonical analysis in the AdS asymptotic region yields the conserved charges of the black hole and the central charges of the asymptotic conformal symmetry.