Shortcuts in a Nonlinear Dynamical Braneworld in Six Dimensions

TL;DR

This paper investigates the nonlinear dynamics of a 4-brane in a six-dimensional singular spacetime, exploring gravitational shortcuts and signal delays to understand potential implications for cosmology and gravity.

Contribution

It provides a detailed analysis of brane motion under perturbations and introduces the concept of gravitational shortcuts in a nonlinear six-dimensional braneworld model.

Findings

Identification of conditions for gravitational shortcuts

Calculation of graviton-photon signal delays

Analysis of brane stability under perturbations

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 analyse the brane behaviour when its position is perturbed about a fixed point and solve the full nonlinear 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.