Non-linear Brane Dynamics in 6 Dimensions

TL;DR

This paper explores the complex non-linear dynamics of a 4-brane in a six-dimensional spacetime with singularities, analyzing perturbations, gravitational shortcuts, and signal delays to understand brane behavior.

Contribution

It provides a detailed analysis of non-linear brane dynamics in six dimensions, including perturbation responses and gravitational shortcut effects, which are novel in this context.

Findings

Brane perturbations can lead to diverse dynamical behaviors.

Gravitational shortcuts can significantly affect signal delays.

The study quantifies the ratio of graviton to photon horizons.

Abstract

We consider a dynamical brane world in a six dimensional spacetime containing a singularity. Using the Israel conditions we study the motion of a 4-brane embedded in this setup. We analize the brane behavior when its position is perturbed about a fixed point and solve the full non-linear dynamics in the several possible scenarios. We also investigate the possible gravitational shortcuts and calculate the delay between graviton and photon signals and the ratio of the corresponding subtended horizons.