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The future of tilted Bianchi universes

John D Barrow and Sigbjørn Hervik

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An asymptotic stability analysis of spatially homogeneous models of Bianchi type containing tilted perfect fluids is performed. Using the known attractors for the non-tilted Bianchi-type universes, we check whether they are stable against perturbations with respect to tilted perfect fluids. We perform the analysis for all Bianchi class B models and the Bianchi type VI0 model. In particular, we find that none of the non-tilted equilibrium points are stable against tilted perfect fluids stiffer than radiation. We also indicate parts of the phase space where new tilted exact solutions might be found.


PACS

98.80.-k Cosmology

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

04.20.Ha Asymptotic structure

MSC

85A40 Cosmology (For relativistic cosmology, see 83F05)

83F05 Cosmology

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 13 (7 July 2003)

Received 14 April 2003

Published 10 June 2003



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