False vacuum decay in a brane world cosmological model

TL;DR

This paper explores false vacuum decay in a brane world cosmology, deriving approximate instanton solutions and comparing them with Einstein's theory to understand differences in decay processes.

Contribution

It provides new approximate expressions for Coleman-de Luccia instantons in brane world models and compares them to classical Einstein gravity results.

Findings

Derived explicit approximate instanton solutions.

Compared brane world decay rates with Einstein gravity.

Identified differences in vacuum decay behavior.

Abstract

The false vacuum decay in a brane world model is studied in this work. We investigate the vacuum decay via the Coleman-de Luccia instanton, derive explicit approximative expressions for the Coleman-de Luccia instanton which is close to a Hawking-Moss instanton and compare the results with those already obtained within Einstein's theory of relativity.