# Cosmological dynamics on the brane

@article{Maartens2000CosmologicalDO, title={Cosmological dynamics on the brane}, author={Roy Maartens}, journal={Physical Review D}, year={2000}, volume={62}, pages={084023} }

In Randall-Sundrum-type brane-world cosmologies, the dynamical equations on the three-brane differ from the general relativity equations by terms that carry the effects of embedding and of the free gravitational field in the five-dimensional bulk. Instead of starting from an ansatz for the metric, we derive the covariant nonlinear dynamical equations for the gravitational and matter fields on the brane, and then linearize to find the perturbation equations on the brane. The local energy…

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