The 2D analogue of the Reissner-Nordstrom solution

TL;DR

This paper derives a 2D dilaton gravity model from a 4D string effective action that mimics Reissner-Nordstrom black hole features, exploring their solutions and connections.

Contribution

It introduces a novel 2D gravity model with Reissner-Nordstrom-like solutions derived from 4D string theory, highlighting its properties and relationships.

Findings

2D solutions replicate 4D Reissner-Nordstrom features

The model is invariant under S-duality transformations

Connections between 2D and 4D black hole solutions are established

Abstract

A two-dimensional (2D) dilaton gravity model, whose static solutions have the same features of the Reissner-Nordstrom solutions, is obtained from the dimensional reduction of a four-dimensional (4D) string effective action invariant under S-duality transformations. The black hole solutions of the 2D model and their relationship with those of the 4D theory are discussed.