Cosmological String Solutions by Dimensional Reduction

TL;DR

This paper derives four-dimensional cosmological solutions from five-dimensional black hole configurations within string theory, highlighting the role of a cosmological constant and dilaton potential in shaping cosmological scenarios.

Contribution

It introduces a method to obtain 4D cosmological solutions by reducing 5D black hole and de Sitter solutions in string theory, linking higher-dimensional gravity to cosmology.

Findings

Derived 4D cosmological solutions from 5D black holes

Identified the impact of a 5D cosmological constant on 4D dilaton potential

Discussed cosmological scenarios based on these solutions

Abstract

We obtain cosmological four dimensional solutions of the low energy effective string theory by reducing a five dimensional black hole, and black hole--de Sitter solution of the Einstein gravity down to four dimensions. The appearance of a cosmological constant in the five dimensional Einstein--Hilbert action produces a special dilaton potential in the four dimensional effective string action. Cosmological scenarios implemented by our solutions are discussed. (Talk presented at: ``27th Symposium on the Theory of Elementary Particles'' Wendisch--Rietz, September 7--11, 1993)