Two-dimensional gravity with an invariant energy scale

TL;DR

This paper explores a two-dimensional gravity model incorporating an invariant energy scale by deforming the Poincare algebra, leading to explicit solutions in 2D dilaton gravity with torsion and analysis of their physical implications.

Contribution

It introduces a novel deformation of the Poincare algebra to model 2D gravity with an invariant energy scale, providing explicit solutions and physical insights.

Findings

Explicit solutions of the deformed 2D gravity model

Analysis of torsion effects in the solutions

Discussion of physical properties of the solutions

Abstract

We investigate the gauging of a two-dimensional deformation of the Poincare algebra, which accounts for the existence of an invariant energy scale. The model describes 2D dilaton gravity with torsion. We obtain explicit solutions of the field equations and discuss their physical properties.