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Generation of exact solutions in cosmology on the basis of five-dimensional Projective Unified Field Theory

A. A. Blinkouski·A. K. Gorbatsievich
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Abstract

A homogeneous and isotropic model of the Universe is considered in the framework of the five-dimensional Projective Unified Field Theory in which the gravitation is described by both space-time curvature and some hypothetical scalar field (sigma-field). We propose a generation method for obtaining exact solutions. New exact Friedmann-like solutions for a dust model and inflationary solutions are found. It is shown that in the framework of exponential type inflation we obtain a natural explanation of why at present we do not observe sigma-field effects or why these effects are negligible.

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A. A. Blinkouski, A. K. Gorbatsievich. 2003-11-27. Generation of exact solutions in cosmology on the basis of five-dimensional Projective Unified Field Theory. https://arxiv.org/abs/gr-qc/0101017

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