Inhomogeneous model with a cosmological constant

Mathematics – Logic

Scientific paper

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity

Scientific paper

We extend an earlier work of Tosa to include the effects of inhomogeneity in the cosmological evolution in Kaluza-Klein spacetime with a cosmological constant. It is observed that the presence of inhomogeneity drastically changes the evolutionary scenario such that our five-dimensional spacetime admits inflation in three-space and dimensional reduction of the extra space. This result is at variance with an earlier conclusion of Tosa for homogeneous models that only a negative cosmological constant with more than one extra spatial dimension can provide inflation of three-space and a small size of the extra one. The model also seems to suggest an alternative mechanism pointing to a smooth transition from a primordial, multidimensional inhomogeneous phase to a four-dimensional homogeneous one.

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