Self-gravitating domain walls and the thin-wall limit

TL;DR

This paper investigates the transition from thick to thin domain wall solutions in self-gravitating scalar fields, providing exact solutions and analyzing the conditions under which the thin wall limit is well-defined.

Contribution

It introduces a method to generate thick wall solutions from thin wall configurations through appropriate scaling, and presents exact solutions with well-defined thin wall limits.

Findings

Thick wall solutions can be derived by scaling thin wall solutions.

An exact domain wall solution interpolating between AdS_4 vacua is obtained.

Solutions without a well-defined thin wall limit are also discussed.

Abstract

We analyse the distributional thin wall limit of self gravitating scalar field configurations representing thick domain wall geometries. We show that thick wall solutions can be generated by appropiate scaling of the thin wall ones, and obtain an exact solution for a domain wall that interpolates between AdS_4 asymptotic vacua and has a well-defined thin wall limit.Solutions representing scalar field configurations obtained via the same scaling but that do not have a thin wall limit are also presented.