Stability of 3D black hole with torsion

Abstract

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.

arXiv commentLATEX, 9 pages

References in corpus (10)

• Geometry of the 2+1 Black Hole
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Supersymmetry of the 2+1 black holes
• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• Anti-de Sitter/CFT Correspondence in Three-Dimensional Supergravity
• Three-dimensional supergravity reloaded
• 3D gravity with torsion as a Chern-Simons gauge theory
• Black hole entropy in 3D gravity with torsion
• Asymptotic charges in 3d gravity with torsion
• Covariant description of the black hole entropy in 3D gravity

Cited by in corpus (6)

• Charged Wormhole Solutions in Einstein-Cartan gravity
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Dirac quasinormal modes of Chern-Simons and BTZ black holes with torsion
• Electric field in 3D gravity with torsion
• Nonlinear electrodynamics in 3D gravity with torsion
• Static Vacuum Solutions on Curved Spacetimes with Torsion