Gravitational Effects on Domain Walls with Curvature Correction

TL;DR

This paper derives an effective action for curved spacetime domain walls, revealing curvature contributions, and applies it to analyze the dynamics of a spherical false vacuum bubble in a gravitational context.

Contribution

It introduces a curvature correction term to the effective action of domain walls, extending previous models to include gravitational effects.

Findings

Curvature influences domain wall dynamics significantly.

Derived equations describe spherical bubble evolution in curved spacetime.

Results applicable to false vacuum decay scenarios.

Abstract

We derive the effective action for a domain wall with small thickness in curved spacetime and show that, apart from the Nambu term, it includes a contribution proportional to the induced curvature. We then use this action to study the dynamics of a spherical thick bubble of false vacuum (de Sitter) surrounded by an infinite region of true vacuum (Schwarzschild).