An Algorithm to Generate Classical Solutions for String Effective Action

TL;DR

This paper presents an algorithm to generate classical solutions for string effective actions in various dimensions, demonstrating its application to two-dimensional charged black holes and discussing more general backgrounds.

Contribution

It introduces a method to produce higher-dimensional solutions from lower-dimensional ones with time-dependent backgrounds, expanding solution-generating techniques in string theory.

Findings

Successfully generated solutions for string effective actions in multiple dimensions.

Applied the method to two-dimensional charged black holes.

Discussed extensions to backgrounds with more general coordinate dependence.

Abstract

It is shown explicitly, that a number of solutions for the background field equations of the string effective action in space-time dimension D can be generated from any known lower dimensional solution, when background fields have only time dependence. An application of the result to the two dimensional charged black hole is presented. The case of background with more general coordinate dependence is also discussed.