Fluctuations produced by the cosmological constant in the empty Bianchi type-IX model

Mathematics

Scientific paper

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Astronomical Models, Cosmology, Fluctuation Theory, Gravitational Fields, Anisotropic Media, Asymptotic Methods, Einstein Equations, Singularity (Mathematics)

Scientific paper

We analyze the fluctuations of the gravitational field, produced by the cosmological term, in the empty Bianchi type-IX cosmological model. It is shown that such fluctuations do not change the process of alternation of Kasner eras very near to the singularity, and that a positive cosmological constant leads to an asymptotic isotropization of the model.

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