Brane collisions in anti-de Sitter space

TL;DR

This paper derives a conservation law for p-brane collisions in anti-de Sitter space and applies it to calculate matter production in brane collision models relevant to cosmology.

Contribution

It introduces a new conservation law for brane collisions in (p+2)-dimensional space-time and uses it to analyze matter creation in ekpyrotic/pyrotechnic models.

Findings

Derived a conservation law relating brane energy densities before and after collision.

Calculated matter production during brane collisions in specific cosmological models.

Provided a framework for analyzing brane collision outcomes in anti-de Sitter space.

Abstract

From the requirement of continuous matching of bulk metric around the point of brane collision we derive a conservation law for collisions of p-branes in (p+2)-dimensional space-time. This conservation law relates energy densities on the branes before and after the collision. Using this conservation law we are able to calculate the amount of matter produced in the collision of orbifold-fixed brane with a bulk brane in the ``ekpyrotic/pyrotechnic type'' models of brane cosmologies.