To the theory of the Universe evolution

TL;DR

This paper presents a theoretical model within Einstein's General relativity using simple non-gauge vector fields to describe a regular, inflation-like evolution of the Universe, avoiding singularities and reducing fine-tuning issues.

Contribution

It introduces a novel approach with non-gauge vector fields to model Universe evolution, providing analytical solutions and a regular cosmological scenario within standard relativity.

Findings

Universe evolution can be described without singularities.

Analytical solutions to Einstein's equations are derived.

The model naturally incorporates inflation and late-time acceleration.

Abstract

Self-consistent account of the most simple non-gauge vector fields leads to a broad spectrum of regular scenarios of temporal evolution of the Universe completely within the frames of the Einstein's General relativity. The longitudinal non-gauge vector field is "the missing link in the chain", displaying the repulsive elasticity and allowing the macroscopic description of the main features of the Universe evolution. The singular Big Bang turns into a regular inflation-like state of maximum compression with the further accelerated expansion at late times. The parametric freedom of the theory allows to forget the troubles of fine tuning. In the most interesting cases the analytical solutions of the Einstein's equations are found.