Energy-momentum of a Cosmological Brane Model and the Gauge Hierarchy

TL;DR

This paper investigates the energy-momentum properties of five-dimensional cosmological brane-world models, revealing that gravitational weakness on the visible brane explains the gauge hierarchy, consistent with the total energy vanishing in gravitational systems.

Contribution

It provides a covariant energy-momentum analysis of cosmological brane models, linking gravitational weakness to the gauge hierarchy in a general framework.

Findings

Weakness of gravity on the visible brane is a general feature.

The gauge hierarchy can be explained from a gravitational perspective.

Total energy of the gravitational system vanishes as expected.

Abstract

We analyze the general covariant energy-momentum tensor of the gravitational system in genreal five-dimensional cosmological brane-world models. Then through calculating this energy-momentum for the cosmological generalization of the Randall-Sundrum model, which includes the original RS model as the static limit, we are able to show that the weakness of the gravitation on the "visible" brane is a general feature of this model. This is the origin of the gauge hierarchy from a gravitational point of view. Our results are also consistent with the fact that a gravitational system has vanishing total energy.