Covariant perturbations of domain walls in curved spacetime

TL;DR

This paper derives a covariant equation for perturbations of domain walls in curved spacetime, extending previous Minkowski space work and enabling stability analysis of relativistic bubbles in curved backgrounds.

Contribution

It introduces a covariant framework for analyzing domain wall perturbations in curved spacetime, generalizing prior Minkowski space results.

Findings

Provides a covariant perturbation equation for domain walls in curved spacetime

Enables stability analysis of relativistic bubbles in curved backgrounds

Extends previous Minkowski space results to curved spacetime

Abstract

A manifestly covariant equation is derived to describe the perturbations in a domain wall on a given background spacetime. This generalizes recent work on domain walls in Minkowski space and introduces a framework for examining the stability of relativistic bubbles in curved spacetimes.