Early inflation,isotropization, and late time acceleration in a Bianchi type-I universe |
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Authors: | B Saha |
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Institution: | 1.Laboratory of Information Technologies,Joint Institute for Nuclear Research,Dubna, Moscow region,Russia |
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Abstract: | A system of Einstein equations is solved for the Bianchi type-I metrics that describes a homogeneous and isotropic Universe.
The system contains nonlinear differential equations of the second-order, which depend only on time. The method of solution
is described, and the general form of the solution is found. Explicit analytical expressions are obtained in some particular
cases. Numerical integration is used to describe possible solution types in the general case. The evolution of the Universe
has been investigated in the presence of different types of sources, namely, a perfect fluid, a van der Waals fluid, the cosmological
constant, quintessence, a Chaplygin gas, a modified quintessence, and a nonlinear spinor field. It is shown that the presence
of a van der Waals fluid leads to inflation in the early stage of evolution, while the modified quintessence leads to a cyclic
or oscillating Universe. It has been shown, that for some special choice of parameters the late time acceleration can be attributed
to the influence of a nonlinear spinor field. |
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Keywords: | |
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