Exact Gravitational Shockwaves and Planckian Scattering on Branes

TL;DR

This paper presents the first exact gravitational shockwave solution on a Randall-Sundrum brane, enabling analysis of high-energy scattering including Kaluza-Klein effects, and discusses similar solutions in ADD models with compact extra dimensions.

Contribution

It provides the first exact localized source solution on a Randall-Sundrum brane and explores high-energy scattering regimes with extra-dimensional effects.

Findings

Derived an exact shockwave solution on a Randall-Sundrum brane.

Mapped scattering regimes at Planckian energies considering Kaluza-Klein modes.

Discussed shockwaves in ADD models with compact extra dimensions.

Abstract

We obtain a solution describing a gravitational shockwave propagating along a Randall-Sundrum brane. The interest of such a solution is twofold: on the one hand, it is the first exact solution for a localized source on a Randall-Sundrum three-brane. On the other hand, one can use it to study forward scattering at Planckian energies, including the effects of the continuum of Kaluza-Klein modes. We map out the different regimes for the scattering obtained by varying the center-of-mass energy and the impact parameter. We also discuss exact shockwaves in ADD scenarios with compact extra dimensions.