Problem of Cosmological Singularity, Inflationary Cosmology and Gauge Theories of Gravitation

TL;DR

This paper explores how gauge theories of gravitation can address the cosmological singularity problem by generalizing Friedmann equations, demonstrating that under certain conditions, inflationary models exhibit a regular bouncing behavior instead of singularities.

Contribution

It introduces generalized cosmological Friedmann equations within gauge theories of gravitation, showing conditions for nonsingular bouncing inflationary models across different universe geometries.

Findings

Inflationary models can be nonsingular and bouncing under specific restrictions.

Generalized Friedmann equations accommodate scalar fields and matter.

Regular bouncing behavior is a generic feature in these models.

Abstract

Problem of cosmological singularity is discussed in the framework of gauge theories of gravitation. Generalizing cosmological Friedmann equations (GCFE) for homogeneous isotropic models including scalar fields and usual gravitating matter are introduced. It is shown that by certain restrictions on equation of state of gravitating matter and indefinite parameter of GCFE generic feature of inflationary cosmological models of flat, open and closed type is their regular bouncing character.