General warped solutions in 5D dilaton gravity

TL;DR

This paper derives explicit analytic warped solutions in 5D dilaton gravity inspired by string theory, revealing conditions under which a nonzero 4D cosmological constant or dilaton can exist.

Contribution

It provides the first explicit analytic solutions for warped geometries in 5D dilaton gravity with a bulk cosmological constant, clarifying the interplay between the 4D cosmological constant and dilaton.

Findings

Solutions allow for either nonzero 4D cosmological constant or nontrivial dilaton, but not both.

Explicit analytic forms of warped solutions are derived.

The results clarify constraints on 5D dilaton gravity models.

Abstract

We present explicit analytic form of general warped solutions of the string inspired dilaton gravity system with bulk cosmological constant in 5 dimensions. The general solution allows for either nonvanishing effective 4-dimensional cosmological constant or the nontrivial 4-dimensional dilaton but not both.