The asymptotic regimes of tilted Bianchi II cosmologies

Details The asymptotic regimes of tilted Bianchi II cosmologies The asymptotic regimes of tilted Bianchi II cosmologies

2000-08-15

arxiv.org/abs/gr-qc/0008037v1

Gen.Rel.Grav. 33 (2001) 65-94

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

In this paper we give, for the first time, a complete description of the dynamics of tilted spatially homogeneous cosmologies of Bianchi type II. The source is assumed to be a perfect fluid with equation of state $p = (\gamma -1) \mu$, where $\gamma$ is a constant. We show that unless the perfect fluid is stiff, the tilt destabilizes the Kasner solutions, leading to a Mixmaster-like initial singularity, with the tilt being dynamically significant. At late times the tilt becomes dynamically negligible unless the equation of state parameter satisfies $\gamma > {10/7}$. We also find that the tilt does not destabilize the flat FL model, with the result that the presence of tilt increases the likelihood of intermediate isotropization.

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