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

TL;DR

This paper develops a method to generate exact solutions in a five-dimensional cosmological model combining curvature and scalar fields, providing new solutions and insights into inflation and scalar field effects.

Contribution

It introduces a generation method for exact solutions in five-dimensional Projective Unified Field Theory, including new Friedmann-like and inflationary solutions.

Findings

New exact Friedmann-like solutions for dust models.

Inflationary solutions with natural explanation for negligible sigma-field effects.

Demonstrates the role of scalar fields in cosmological inflation.

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.