Solutions without singularities in gauge theory of gravitation

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

arXiv comment9 pages, no figures

References in corpus (5)

• A Cosmological Theory without Singularities
• Metric-Affine Gauge Theory of Gravity I. Fundamental Structure and Field Equations
• Three lectures on Poincare gauge theory
• Poincare gauge invariance and gravitation in Minkowski spacetime
• Schwarzschild solution on a space-time with torsion

Cited by in corpus (5)

• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
• Thermodynamic Properties of Schwarzschild Black Hole in Non-Commutative Gauge Theory of Gravity
• Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
• Thermodynamical properties of a noncommutative anti-de Sitter-Einstein-Born-Infeld spacetime from gauge theory of gravity
• Schwarzschild black hole surrounded by a cavity and phase transition in the non-commutative gauge theory of gravity