On Metric Perturbations in Brane-World Scenarios
Andrey Neronov, Ivo Sachs
TL;DR
This paper revisits linearized metric perturbations in the Randall-Sundrum brane-world model, offering a simplified formalism to better understand how matter perturbations influence the brane's geometry and correcting previous misconceptions.
Contribution
It introduces a straightforward formalism for describing metric perturbations caused by matter on the brane, clarifying constraints and addressing misconceptions in the existing literature.
Findings
Simplified formalism for metric perturbations
Clarification of constraints on perturbations
Correction of misconceptions in brane-world perturbation analysis
Abstract
In this note we reconsider linearised metric perturbations in the one-brane Randall-Sundrum Model. We present a simple formalism to describe metric perturbations caused by matter perturbations on the brane and remedy some misconceptions concerning the constraints imposed on the metric and matter perturbations by the presence of the brane.
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