A Brief Review of the Singularities in 4D and 5D Viscous Cosmologies Near the Future Singularity

Details A Brief Review of the Singularities in 4D and 5D Viscous Cosmologies Near the Future Singularity A Brief Review of the Singularities in 4D and 5D Viscous Cosmologies Near the Future Singularity

2008-11-07

arxiv.org/abs/0811.1129v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages latex, no figures. Contribution to the anniversary volume "The Problems of Modern Cosmology", on the occasion of the

Scientific paper

Analytic properties of physical quantities in the cosmic fluid such as energy density \rho(t) and Hubble parameter H(t) are investigated near the future singularity (Big Rip). Both 4D and 5D cosmologies are considered (the Randall-Sundrum II model in the 5D case), and the fluid is assumed to possess a bulk viscosity \zeta. We consider both Einstein gravity and modified gravity, where in the latter case the Lagrangian contains a term R^\alpha with \alpha a constant. If \zeta is proportional to the power (2\alpha-1) of the scalar expansion, the fluid can pass from the quintessence region into the phantom region as a consequence of the viscosity. A property worth noticing is that the 4D singularity on the brane becomes carried over to the bulk region.

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