Bianchi type I models with two tilted fluids

Details Bianchi type I models with two tilted fluids Bianchi type I models with two tilted fluids

2008-06-04

arxiv.org/abs/0806.0759v1

Class.Quant.Grav.25:225013,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, 2 figures

Scientific paper

10.1088/0264-9381/25/22/225013

In this paper we investigate expanding Bianchi type I models with two tilted fluids with linear equations of state. Individually the fluids have non-zero energy fluxes w.r.t. the symmetry surfaces, but these cancel each other because of the Codazzi constraint. Asymptotically toward the past the solutions approach Kasner states if the speeds of sound are less than that of light. If one of the fluids has a speed of sound that is less or equal to 1/3 of the speed of light (radiation) then the models isotropize toward the future, but if both fluids are stiffer than radiation then the final state is anisotropic with non-zero Hubble-normalized shear. The significance of these results is discussed in a broader context.

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