Randall-Sundrum Model in the Presence of a Brane Bulk Viscosity

Details Randall-Sundrum Model in the Presence of a Brane Bulk Viscosity Randall-Sundrum Model in the Presence of a Brane Bulk Viscosity

2003-08-19

arxiv.org/abs/gr-qc/0308058v2

Phys.Rev.D69:024009,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, RevTeX4, no figures. Discussion in Sec. III expanded; new references. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.69.024009

The presence of a bulk viscosity for the cosmic fluid on a single Randall-Sundrum brane is considered. The spatial curvature is assumed to be zero. The five-dimensional Friedmann equation is derived, together with the energy conservation equation for the viscous fluid. These governing equations are solved for some special cases: (i) in the low-energy limit when the matter energy density is small compared with brane tension; (ii) for a matter-dominated universe, and (iii) for a radiation-dominated universe. Rough numerical estimates, for the extreme case when the universe is at its Planck time, indicate that the viscous effect can be significant.

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