Scalar field dynamics on a brane

摘要

The dynamics of a flat isotropic brane Universe with two-component matter source - perfect fluid with the equation of state p = (γ — 1)ρ and a scalar field with a power-law potential V ～ φ~α is investigated. We describe solutions for which the scalar field energy density scales as a power-law of the scale factor. We also describe solutions existing in regions of the parameter space where these scaling solutions are unstable or do not exist.