Solutions without singularities in gauge theory of gravitation

TL;DR

This paper develops a de-Sitter gauge theory of gravity on Minkowski space, deriving non-singular solutions and comparing them with General Relativity, highlighting potential advantages in avoiding singularities.

Contribution

It introduces a gauge-theoretic approach to gravity that yields solutions free of singularities by imposing specific invariant constraints.

Findings

Solutions without singularities are explicitly constructed.

The dependence of solutions on the cosmological constant is analyzed.

Comparison with General Relativity shows differences in singularity behavior.

Abstract

A de-Sitter gauge theory of the gravitational field is developed using a spherical symmetric Minkowski space-time as base manifold. The gravitational field is described by gauge potentials and the mathematical structure of the underlying space-time is not affected by physical events. The field equations are written and their solutions without singularities are obtained by imposing some constraints on the invariants of the model. An example of such a solution is given and its dependence on the cosmological constant is studied. A comparison with results obtained in General Relativity theory is also presented. Keywords: gauge theory, gravitation, singularity, computer algebra