Colliding Waves on a Brane, the Big Bounce and Reconnection

TL;DR

This paper introduces a time-dependent solution for colliding waves on a brane, modeling a Big Bounce scenario and brane reconnection, with implications for cosmological singularity avoidance.

Contribution

It provides a novel exact solution of the Nambu-Goto action depicting colliding branes and their geometric and dynamical properties, including a non-singular Big Bounce.

Findings

The solution describes a non-singular Big Bounce transition.

It models brane collision and reconnection with signature change.

Classical particle dynamics on the brane are analyzed.

Abstract

We present a time-dependent solution of the Nambu-Goto action which represents two colliding waves moving at the speed of light. This solution can be decomposed into two distinct regions with different geometries corresponding to shrinking or expanding brane universe and two colliding branes. The former describes the Big Bounce without singularity while the latter describes that two branes collide and reconnect to each other. The colliding brane region has a signature change. Classical dynamics of a massive particle on the brane is studied through the geodesics.