Dynamic domain walls in Maxwell-Dilaton background

TL;DR

This paper generalizes Maxwell-Dilaton solutions by including electromagnetic fields coupled to scalar fields, analyzing domain wall dynamics, and discovering various static and inflationary behaviors in these complex backgrounds.

Contribution

It introduces new solutions with electromagnetic coupling in dilaton backgrounds and explores their impact on domain wall dynamics, including static configurations and inflationary phases.

Findings

Five different solution types with singularities identified.

Existence of static bulk spacetimes compatible with dynamic domain walls.

Domain walls exhibit inflationary phases followed by decelerated expansion.

Abstract

Motivated by the well know Chamblin-Reall solutions of $n$-dimensional background spacetime in a dilaton gravity and the dynamics of a domain wall in the same backgrounds, we have tried to generalize those solutions by including electromagnetic field in the bulk. The electromagnetic field is assumed to be coupled with the scalar field in an exponential way. Under the specific relations among the various parameters in our model, we have found five different types of solutions. For every case, the solution has singularity. In these backgrounds, we have also studied the dynamics of domain wall. The energy densities which play the role of these interesting dynamics, are know to be induced from the bulk fields through Israel junction condition. In this more general background field configuration, we have again found many occasions to exist static bulk spactime consistent with the dynamic domain wall. In several cases, depending upon the values of the parameters, in the early stage of evolution, the domain wall is found to have an inflationary phase for finite period of it's proper time followed by usual decelerated expansion.