Dynamical System of Kaluza-Klein Brane Cosmology with Gauss-Bonnet Term in a Bulk

Abstract

Brane-world cosmological model in higher-dimensional spacetime is studied with additional Gauss-Bonnet term in the bulk. By using Gauss-Codazzi equations, we derive the (4+n)-dimensional gravitational field equations. The (4+n)-dimensional gravitational field equations can be formulated to general Einstein field equation with Gauss-Bonnet term and extra component. In the following, we take FRW metric and choose a relation between the external and internal scale factors of the form b(t)=a γ(t) in which the brane world evolves with two scale factors. Finally, a dynamical analysis is performed to determine the stability of this model.