Braneworld with Induced Axial Symmetry

TL;DR

This paper develops a framework for analyzing gravitational perturbations in a five-dimensional warped braneworld with axial symmetry, deriving equations for various gravitational fluctuations and examining the associated Schr"odinger potentials.

Contribution

It introduces a method to reduce arbitrary 5D gravitational perturbations to an axially symmetric warped braneworld and derives the linearized gravity equations for different fluctuations.

Findings

Derived equations for graviton, gravivector, and graviscalar fluctuations.

Analyzed the effects of Schr"odinger potentials on these fluctuations.

Provided a foundation for studying gravitational stability in braneworld models.

Abstract

We take arbitrary gravitational perturbations of a 5d spacetime and reduce it to the form an axially symmetric warped braneworld. Then, we write the filed equations for the linearized gravity perturbations. We obtain the equations that describes the graviton, gravivector and the graviscalar fluctuations and analyse the effects of the Schr\"odinger potentials that appear in these equations.