English

Bianchi type I models with two tilted fluids

General Relativity and Quantum Cosmology 2008-11-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0806.0759,
  title  = {Bianchi type I models with two tilted fluids},
  author = {Patrik Sandin and Claes Uggla},
  journal= {arXiv preprint arXiv:0806.0759},
  year   = {2008}
}

Comments

19 pages, 2 figures

R2 v1 2026-06-21T10:47:26.121Z