Tilted two-fluid Bianchi type I models

Details Tilted two-fluid Bianchi type I models Tilted two-fluid Bianchi type I models

2009-01-07

arxiv.org/abs/0901.0800v1

Gen.Rel.Grav.41:2707-2724,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 3 figures

Scientific paper

10.1007/s10714-009-0799-5

In this paper we investigate expanding Bianchi type I models with two tilted fluids with the same linear equation of state, characterized by the equation of state parameter w. Individually the fluids have non-zero energy fluxes w.r.t. the symmetry surfaces, but these cancel each other because of the Codazzi constraint. We prove that when w=0 the model isotropizes to the future. Using numerical simulations and a linear analysis we also find the asymptotic states of models with w>0. We find that future isotropization occurs if and only if $w \leq 1/3$. The results are compared to similar models investigated previously where the two fluids have different equation of state parameters.

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