High-energy effective theory for orbifold branes

TL;DR

This paper develops an effective theory for orbifold branes in the Randall-Sundrum model, analyzing high-energy corrections and gravitational wave behavior during brane collisions, highlighting the recovery of 4D physics at high velocities.

Contribution

It introduces a high-energy effective theory for orbifold branes with bulk branes, incorporating higher velocity corrections from Kaluza-Klein modes in a cosmological setting.

Findings

High-velocity limit restores 4D gravitational behavior.

Derived corrections due to Kaluza-Klein modes.

Analyzed gravitational wave evolution during brane collision.

Abstract

We derive an effective theory on the orbifold branes of the Randall-Sundrum 1 (RS1) braneworld scenario in the presence of a bulk brane. We concentrate on the regime where the three branes are close and consider a scenario where the bulk brane collides with one of the orbifold branes. This theory allows us to understand the corrections to a low-energy approach due to the presence of higher velocity terms, coming from the Kaluza-Klein modes. We consider the evolution of gravitational waves on a cosmological background and find that, within the large velocity limit, the boundary branes recover a purely four-dimensional behavior.