Evolution of Vacuum Bubbles Embeded in Inhomogeneous Spacetimes

TL;DR

This paper investigates how vacuum bubbles evolve within inhomogeneous spacetimes filled with dust or radiation, highlighting significant differences in behavior depending on the surrounding matter content and inhomogeneity.

Contribution

It introduces a detailed analysis of vacuum bubble dynamics in inhomogeneous backgrounds, comparing dust and radiation environments to reveal their distinct effects.

Findings

Radiation environments cause notably different bubble evolution compared to dust.

Inhomogeneities significantly influence the bubble's proper radius evolution.

Differences are observed in both homogeneous and inhomogeneous settings.

Abstract

We study the propagation of bubbles of new vacuum in a radially inhomogeneous background filled with dust or radiation, and including a cosmological constant, as a first step in the analysis of the influence of inhomogeneities in the evolution of an inflating region. We also compare the cases with dust and radiation backgrounds and show that the evolution of the bubble in radiation environments is notably different from that in the corresponding dust cases, both for homogeneous and inhomogeneous ambients, leading to appreciable differences in the evolution of the proper radius of the bubble.