Geometric Stability of Brane-worlds

TL;DR

This paper investigates the stability of brane-world models, deriving conditions that lead to Einstein-Hilbert dynamics and gauge confinement, while estimating extra dimension sizes and defining quantum gravitational wave modes.

Contribution

It provides a gauge-independent stability analysis of brane-worlds, establishing fundamental dynamics and quantum mode definitions without relying on specific models or topologies.

Findings

Stability conditions imply Einstein-Hilbert dynamics.

Extra dimension sizes are estimated without fixed topology.

Quantum high-frequency gravitational modes are characterized.

Abstract

The stability conditions for coordinate gauge independent perturbations of brane-worlds are analyzed. It is shown that, these conditions lead to the Einstein-Hilbert dynamics and to a confined gauge potential, independently of models and metric ansatzes. The size of the extra dimensions are estimated without assuming a fixed topology. The quantum modes corresponding to high frequency gravitational waves are defined through a canonical structure.