Scaling solutions on a brane

Details Scaling solutions on a brane Scaling solutions on a brane

2002-12-25

arxiv.org/abs/gr-qc/0212104v2

Class.Quant.Grav. 20 (2003) 2553-2562

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages with 2 eps figures, typos corrected

Scientific paper

10.1088/0264-9381/20/13/307

We investigate the dynamics of a flat isotropic brane Universe with two-component matter source: perfect fluid with the equation of state $p=(\gamma-1) \rho$ and a scalar field with a power-law potential $V \sim \phi^{\alpha}$. The index $\alpha$ can be either positive or negative. We describe solutions for which the scalar field energy density scales as a power-law of the scale factor (so called scaling solutions). In the nonstandard brane regime when the brane is driven by energy density square term these solutions are rather different from their analogs in the standard cosmology. A particular attention is paid to the inverse square potential. Its dynamical properties in the nonstandard brane regime are in some sense analogous to those of the exponential potential in the standard cosmology. Stability analysis of the scaling solutions are provided. We also describe solutions existing in regions of the parameter space where the scaling solutions are unstable or do not exist.

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