Two-dimensional gravity with an invariant energy scale and arbitrary dilaton potential

TL;DR

This paper explores a two-dimensional gravity model incorporating an invariant energy scale through algebraic deformation, providing explicit solutions and analyzing their properties.

Contribution

It introduces a novel 2D gravity model with an arbitrary dilaton potential derived from algebraic deformation, including explicit solutions.

Findings

Explicit solutions of the field equations are obtained.

The properties of these solutions are analyzed.

The model incorporates an invariant energy scale into 2D gravity.

Abstract

We investigate a model of two-dimensional gravity with arbitrary scalar potential obtained by gauging a deformation of de Sitter or more general algebras, which accounts for the existence of an invariant energy scale. We obtain explicit solutions of the field equations and discuss their properties.