Isotropization of arbitrary cosmological expansion given an effective cosmological constant

Mathematics – Logic

Scientific paper

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Cosmology, Isotropy, Universe, Asymptotic Methods, Expansion, Homogeneity

Scientific paper

It is shown that if the energy momentum tensor of matter has an effective cosmological term, an early phase of the universe would have been antientropic, and would lead to the homogeneous and isotropic universe presently observed out to 10 to the 28th cm. An analytical basis is derived for defining an asymptotic structure for inhomogeneous cosmological expansion with a maximum number of physical arbitrary functions with three coordinates and stable to perturbations less than a certain size. Matter is included in the asymptotic structure through definition of an equation of state. Starting from an initial vortical velocity, it is found that rapid local isotropization with expansion over a characteristic time is a typical phenomena.

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