Black holes in generalized dilaton gravity in two dimensions

TL;DR

This paper explores two-dimensional dilaton gravity models with exponential potentials, deriving general black hole solutions, analyzing their properties, and connecting them to gauge theories and quantization frameworks.

Contribution

It provides the most general black hole solutions in these models, links them to gauge theories with broken symmetry, and discusses their quantization and symmetries.

Findings

Derived general black hole solutions in 2D dilaton gravity

Connected models to gauge theories of extended Poincaré group

Analyzed thermodynamical and geometrical properties

Abstract

We consider two-dimensional dilaton-gravity theories with a generic exponential potential for the dilaton, and obtain the most general black hole solutions in the Schwarzshild form. We discuss their geometrical and thermodynamical properties. We also study these models from the point of view of gauge theories of the extended Poincar\'e group and show that they can be considered as gauge theories with broken symmetry. Finally, we examine the theory in a hamiltonian formalism and discuss its quantization and its symmetries.