Stability of 3D black hole with torsion

Using $N=1+1$ supersymmetric extension of the three-dimensional gravity with torsion, we show that a generic black hole has no exact supersymmetries, the extremal black hole has only one, while the zero-energy black hole has two. Combining these results with the asymptotic supersymmetry algebra, we are naturally led to interpret the zero-energy black hole as the ground state of the Ramond sector, and analogously, the anti-de Sitter solution as the ground state of the Neveau-Schwartz sector.Comment: LATEX, 9 page

Vaidya-like exact solutions with torsion

Starting from the Oliva--Tempo--Troncoso black hole, a solution of the Bergshoeff--Hohm--Townsend massive gravity, a class of the Vaidya-like exact vacuum solutions with torsion is constructed in the three-dimensional Poincar\'e gauge theory. A particular subclass of these solutions is shown to possess the asymptotic conformal symmetry. The related canonical energy contains a contribution stemming from torsion.Comment: LaTeX, 15 pages, 2 figures; v2 minor revision

Poincar\'e gauge theory in 3D: canonical stability of the scalar sector

We outline the results of the canonical analysis of the three-dimensional Poincar\'e gauge theory, defined by the general parity-invariant Lagrangian with eight free parameters [11]. In the scalar sector, containing scalar or pseudoscalar (A)dS modes, the stability of the canonical structure under linearization is used to identify dynamically acceptable values of the parameters.Comment: 6 pages, LaTeX. arXiv admin note: text overlap with arXiv:1309.041

Conserved charges in 3D gravity

The covariant canonical expression for the conserved charges, proposed by Nester, is tested on several solutions in 3D gravity with or without torsion and topologically massive gravity. In each of these cases, the calculated values of energy-momentum and angular momentum are found to satisfy the first law of black hole thermodynamics.Comment: LATEX, 14 pages; v2: minor corrections, two references adde