Problem of cosmological singularity and inflationary cosmology

TL;DR

This paper discusses the cosmological singularity problem and proposes that gauge theories of gravitation can resolve it by enabling regular bouncing inflationary models across different universe geometries.

Contribution

It introduces gauge theories of gravitation as a means to construct non-singular inflationary cosmological models, expanding beyond general relativity.

Findings

Gauge theories of gravitation allow regular bouncing solutions.

Inflationary models with ultrarelativistic matter are possible without singularities.

Multiple universe geometries can be modeled without cosmological singularities.

Abstract

Problem of cosmological singularity of general relativity theory is discussed. The possible resolution of this problem in the framework of inflationary cosmology is proposed. Physical conditions leading to bouncing inflationary solutions in the frame of general relativity theory and gauge theories of gravitation are compared. It is shown that gauge theories of gravitation allow to build regular inflationary cosmological models of closed, open and flat type with dominating ultrarelativistic matter at a bounce.