Asymptotics of LRS Bianchi type I cosmological models with elastic matter |
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Authors: | Simone Calogero and J Mark Heinzle |
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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 |
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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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Keywords: | |
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