Two-dimensional Black Hole With Torsion

TL;DR

This paper investigates a two-dimensional gravity model with torsion, deriving exact solutions that include charged black holes, and calculates their conserved charges and ADM mass.

Contribution

It provides an exact integration of the classical equations of motion in a 2D gravity model with torsion, revealing black hole solutions and their physical properties.

Findings

Exact solutions for 2D black holes with torsion

Calculation of conserved charge and ADM mass

Identification of charged black hole type solutions

Abstract

The 2D model of gravity with zweibeins $e^{a}$ and the Lorentz connection one-form $\omega^{a}_{\ b}$ 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.