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- Title
Tilted two-fluid Bianchi type I models.
- Authors
Patrik Sandin
- Abstract
Abstract 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 $${w\leq \frac{1}{3}}$$ . The results are compared to similar models investigated previously where the two fluids have different equation of state parameters.
- Subjects
MATHEMATICAL models of fluid dynamics; EQUATIONS of state; SYMMETRY (Physics); SURFACES (Technology); CONSTRAINTS (Physics); ASYMPTOTIC expansions; NUMERICAL analysis; SIMULATION methods &; models
- Publication
General Relativity & Gravitation, 2009, Vol 41, Issue 11, p2707
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-009-0799-5