String Effective Action and Two Dimensional Charged Black Hole

TL;DR

This paper derives solutions to graviton-dilaton equations in three dimensions, showing how compactification yields a two-dimensional charged black hole, and explores effects of background antisymmetric tensor fields.

Contribution

It presents a new derivation of two-dimensional charged black hole solutions from three-dimensional string effective action with compactification.

Findings

Reproduces known two-dimensional charged black hole solutions.

Provides solutions with nonvanishing antisymmetric tensor fields.

Connects three-dimensional string backgrounds to two-dimensional black holes.

Abstract

Graviton-dilaton background field equations in three space-time dimensions, following from the string effective action are solved when the metric has only time dependence. By taking one of the two space dimensions as compact, our solution reproduces a recently discovered charged black hole solution in two space-time dimensions. Solutions in presence of nonvanishing three dimensional background antisymmetric tensor field are also discussed.