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Asymptotics of LRS Bianchi type I cosmological models with elastic matter
Authors:Simone Calogero and J Mark Heinzle
Institution:(1) Department of Mathematics, Sobhasaria Engineering College, NH-11, Sikar, 332 001, India;(2) Department of Mathematics, Hindu Post-graduate College, Zamania, 232 331, Ghazipur, India
Abstract:In this paper, we report on results in the study of spatially homogeneous cosmological models with elastic matter. We show that the behavior of elastic solutions is fundamentally different from that of perfect fluid solutions already in the case of locally rotationally symmetric Bianchi type I models; this is true even when the elastic material resembles a perfect fluid very closely. In particular, the approach to the initial singularity is characterized by an intricate oscillatory behavior of the scale factors, while the future asymptotic behavior is described by isotropization rates that differ significantly from those of perfect fluids.
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