Some Anisotropic Universes in the Presence of Imperfect Fluid Coupling with Spatial Curvature

We consider Bianchi VI spacetime, which also can be reduced to Bianchi types VI 0 -V-III-I. We initially consider the most general form of the energy-momentum tensor which yields anisotropic stress and heat flow. We then derive an energy-momentum tensor that couples with the spatial curvature in a w...

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Bibliographic Details
Published inInternational journal of theoretical physics Vol. 50; no. 6; pp. 1962 - 1977
Main Authors Akarsu, Özgür, Kılınç, Can Battal
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.06.2011
Subjects
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
Bianchi models
Anisotropic dark energy
Isotropization
Heat flow
Imperfect fluid
Spatial curvature
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Summary:We consider Bianchi VI spacetime, which also can be reduced to Bianchi types VI 0 -V-III-I. We initially consider the most general form of the energy-momentum tensor which yields anisotropic stress and heat flow. We then derive an energy-momentum tensor that couples with the spatial curvature in a way so as to cancel out the terms that arise due to the spatial curvature in the evolution equations of the Einstein field equations. We obtain exact solutions for the universes indefinitely expanding with constant mean deceleration parameter. The solutions are beriefly discussed for each Bianchi type. The dynamics of the models and fluid are examined briefly, and the models that can approach to isotropy are determined. We conclude that even if the observed universe is almost isotropic, this does not necessarily imply the isotropy of the fluid (e.g., dark energy) affecting the evolution of the universe within the context of general relativity.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-011-0711-4