A Brane Universe Model with Extra Dimension

We summarized both the general covariant energy-momentum and angular momentum conservation law in the gravitational system and analyzed the general covariant energy-momentum tensor of the gravitational system in general five-dimensional cosmological in brane-universe models.After calculating this energy-momentum for the cosmological generalization of the Randall-Sundrum(RS) 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.We also discussed the properties of the general covariant angular momentum in five-dimensional brane-universe model.With calculation of the total angular momentum of this model,we analyzed the properties of the total angular momentum in the inflationary RS model.We pointed that the space-like components of the total angular momentum are zero while the others are non-zero,which agrees with the results from ordinary RS model.We also investigated the bulk cosmological constant and brane vacuum energies in RS model.We show that the five-dimensional bulk cosmological constant and the vacuum energies of the two branes could take their natural values.Finally we argued how we can generate a small four-dimensional effective cosmological constant on the branes by modifying the original RS model.