Spherically Symmetric Thick Branes in Vacuum

TL;DR

This paper derives the equations governing a spherical thick brane in five-dimensional spacetime, showing that finite thickness accelerates the collapse of the shell, with implications for brane-world models.

Contribution

It provides a derivation of thick brane equations from junction conditions and analyzes the impact of thickness on collapse dynamics.

Findings

Thick brane equations can be obtained from junction conditions.

Finite thickness causes faster collapse of the spherical shell.

The approach links brane thickness to dynamical behavior in higher-dimensional models.

Abstract

We consider a spherical thick 3-brane immersed in a five-dimensional bulk spacetime. We demonstrate how the thick brane equation of motion expanded in powers of the thickness of the brane can be obtained from the expected junction conditions on the boundaries of thick brane with the two embedding spacetimes. It is shown that the finite thickness leads to a faster collapse of the spherical shell.