Bianchi type I models with two tilted fluids

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.

19 pages, 2 figures

References in corpus (22)

• Cosmological Constraints from the SDSS Luminous Red Galaxies
• The past attractor in inhomogeneous cosmology
• The asymptotic regimes of tilted Bianchi II cosmologies
• Asymptotic silence of generic cosmological singularities
• A dynamical systems approach to the tilted Bianchi models of solvable type
• Asymptotic isotropization in inhomogeneous cosmology
• Future Asymptotic Behaviour of Tilted Bianchi models of type IV and VIIh
• The Future of Tilted Bianchi Universes
• Dynamics of the spatially homogeneous Bianchi type I Einstein-Vlasov equations
• Bianchi Cosmologies: A Tale of Two Tilted fluids
• The Futures of Bianchi type VII0 cosmologies with vorticity
• Matter and dynamics in closed cosmologies
• The Asymptotic Behaviour of Tilted Bianchi type VI${}_0$ Universes
• The late-time behaviour of vortic Bianchi type VIII Universes
• Self-similar Bianchi models: II. Class B models
• Self-similar Bianchi models: I. Class A models
• Late-time behaviour of the tilted Bianchi type VIh models
• Quasi-isotropic solution of the Einstein equations near a cosmological singularity for a two-fluid cosmological model
• Conformal regularization of Einstein's field equations
• Isotropization of two-component fluids
• Late-time behaviour of the tilted Bianchi type VI${}_{-1/9}$ models
• On tilted perfect fluid Bianchi type VI${}_0$ self-similar models

Cited by in corpus (5)

• Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data
• Tilted two-fluid Bianchi type I models
• Perfect fluids and generic spacelike singularities
• Analytic solutions for the Bianchi I universe coupled to several barotropic perfect fluids
• Late-time behaviour of the Einstein-Vlasov system with Bianchi I symmetry