Horizons in 1+1 Dimensional Dilaton Gravity Coupled to Matter

TL;DR

This paper investigates the local behavior of static solutions in 1+1 dimensional dilaton gravity coupled to matter fields, focusing on solutions near horizons and their mathematical properties.

Contribution

It provides a detailed analysis of horizon solutions in dilaton gravity models, including integral and series solutions, relevant for higher-dimensional reductions.

Findings

Near-horizon solutions can be obtained via integral equations.

In favorable cases, solutions are expressible as convergent series.

The study applies to models with scalar and gauge fields in 1+1 dimensions.

Abstract

We study the local behaviour of static solutions of a general 1+1 dimensional dilaton gravity theory coupled to scalar fields and Abelian gauge fields near horizons. This type of model includes in particular reductions of higher dimensional theories invariant under a sufficiently large isometry group. The solution near the horizon can in general be obtained solving a system of integral equations or in favourable cases in the form of a convergent series in the dilaton field.