A Kaluza--Klein-like model of the gauge theory of gravity and its cosmological meaning

Abstract

A new Kaluza--Klein-like (KK-like) model of the de Sitter gauge theory of gravity is constructed from the geometry related to the gauge-invariant expressions of the gravitational fields. The model reduces to general relativity with a cosmological constant Lambda when the spin tensor is equal to zero. Moreover, it is shown that among the R-2Lambda+betaS^{abc}S_{abc} models, where beta is a dimensionless parameter and S_{abc} denotes torsion, the KK-like model is the only one that may avert the big-bang singularity of the Robertson--Walker universe filled with a spin fluid.

14 pages. arXiv admin note: text overlap with arXiv:1405.5398

References in corpus (3)

• On Principle of Inertia in Closed Universe
• The Principle of Relativity and Special Relativity Triple
• Kaluza--Klein-type models of de Sitter and Poincaré gauge theories of gravity

Cited by in corpus (5)

• On the difference between Poincaré and Lorentz gravity
• R+S^2 theories of gravity without big-bang singularity
• Energy, momentum and angular momentum conservations in de Sitter gravity
• Energy, momentum and angular momentum conservations in de Sitter special relativity
• de Sitter-covariant Hamiltonian formalism of Einstein--Cartan gravity