(Non)commutative isotropization in Bianchi I with Barotropic perfect fluid and Cosmological
arXiv:gr-qc/0703101 · doi:10.1007/s10773-007-9557-1
Abstract
We present the classical solutions to the Einstein field equations derived using the WKB-like and Hamilton procedures. The investigation is carried out in the commutative and noncommutative scenario for the Bianchi type I cosmological model coupled to barotropic perfect fluid and Cosmological for two different gauges. Noncommutativity is achieved by modifying the symplectic structure considering that all minisuperspace variables does not commute and by a deformation between all the minisuperspace variables. In the gauge N=1, it is possible to obtain that the anisotropic parameter tend to a constant curvature for large period of time considering different values in the noncommutative parameters and cosmological term. However, this behavior give the idea that is necessary introduce other class of matter in the models, for to have a real isotropization in the model, such as dark energy or dark matter.
arXiv comment15 pages, 1 figure
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