Brane Cosmology with Matter in the Bulk. I

TL;DR

This paper derives exact solutions in brane cosmology with matter both on the brane and in the bulk, revealing energy flow and modified expansion dynamics in the Randall-Sundrum model.

Contribution

It provides new exact solutions for Einstein equations in brane-world scenarios with matter in the bulk, extending previous static metrics to cosmological contexts.

Findings

Energy outflow from the brane is demonstrated.

Mirage contributions significantly affect Hubble expansion.

Solutions generalize static stellar interior metrics to cosmology.

Abstract

We derive exact solutions of the Einstein equations in the context of the Randall-Sundrum model with matter both on the brane and in the bulk. The bulk metric is a generalization of the static metrics describing the interior of stellar objects. We study the cosmological evolution on the brane. Our solutions describe energy ouflow from the brane, and the appearance of ``mirage'' contributions to the Hubble expansion that alter the standard cosmological evolution.