Cosmological solutions in the brane-bulk system

TL;DR

This paper derives cosmological solutions within a 5-D brane-bulk framework, extending the Randall-Sundrum model by incorporating plane wave bulk metrics and solving the resulting 4-D Einstein equations on the brane.

Contribution

It introduces a new class of cosmological solutions based on a 5-D line element with plane wave bulk metrics, advancing the understanding of brane-world cosmology.

Findings

Derived explicit cosmological solutions in the brane-bulk system.

Connected bulk wave propagation to brane-world cosmological dynamics.

Extended Randall-Sundrum model with plane wave bulk metrics.

Abstract

In this work we find cosmological solutions in the brane-bulk system starting from a 5-D line element which is a simple extension, for cosmological applications, of the pioneering Randall-Sundrum line element. From the knowledge of the bulk metric, assumed to have the form of plane waves propagating in the fifth dimension, we solve the corresponding 4-D Einstein equations on the brane with a well defined energy-momentum tensor.