Analytic continuations of de Sitter thick domain wall solutions

TL;DR

This paper explores analytic continuations of de Sitter thick domain wall solutions, resulting in new anti-de Sitter and cyclic cosmological solutions within a gravity-scalar field system.

Contribution

It introduces novel analytic continuations that generate anti-de Sitter and cyclic universe solutions from existing de Sitter domain walls.

Findings

Anti-de Sitter thick domain walls are periodic.

Cosmological solutions are cyclic universes.

Parameter regions for different solutions are identified.

Abstract

We perform some analytic continuations of the de Sitter thick domain wall solutions obtained in our previous paper hep-th/0201130 in the system of gravity and a scalar field with an axion-like potential. The obtained new solutions represent anti-de Sitter thick domain walls and cosmology. The anti-de Sitter domain wall solutions are periodic, and correspondingly the cosmological solutions represent cyclic universes. We parameterize the axion-like scalar field potential and determine the parameter regions of each type of solutions.