Two-dimensional Black Hole With Torsion

Abstract

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $ω^{a}_{\ b}$ as independent gravitational variables is considered and it is shown that the classical equations of motion are exactly integrated in coordinate system determined by components of 2D torsion. For some choice of integrating constant the solution is of the charged black hole type. The conserved charge and ADM mass of the black hole are calculated.