Time-dependent gravitating solitons in five dimensional warped space-times

TL;DR

This paper derives explicit time-dependent soliton solutions in a five-dimensional warped spacetime, revealing geometries that interpolate between anti-de Sitter spaces and include multi-soliton configurations.

Contribution

It introduces new explicit time-dependent gravitating soliton solutions in five dimensions, including topological, non-topological, and multi-soliton configurations.

Findings

Solutions interpolate between two AdS_5 spaces.

Existence of regular, well-defined geometries.

Multi-soliton configurations with kink-antikink systems.

Abstract

Time-dependent soliton solutions are explicitly derived in a five-dimensional theory endowed with one (warped) extra-dimension. Some of the obtained geometries, everywhere well defined and technically regular, smoothly interpolate between two five-dimensional anti-de Sitter space-times for fixed value of the conformal time coordinate. Time dependent solutions containing both topological and non-topological sectors are also obtained. Supplementary degrees of freedom can be also included and, in this case, the resulting multi-soliton solutions may describe time-dependent kink-antikink systems.