Geometrization of electromagnetism in space with torsion

Teleparallel space–time with torsion yields geometrization of electrodynamics with quantized charges

In the present paper a way of geometrization of electrodynamics is proposed, which makes use of a generalization of Riemannian geometry considered already by Einstein and Cartan in the 20ies. Cartan’s differential forms description of a teleparallel space–time with torsion is modified by introducing distortion 1-forms instead of the basis 1-forms ω which correspond to the distortion tensor in d...

Geometric Interpretation of Electromagnetism in a Gravitational Theory with Space–Time Torsion

A complete geometric unification of gravity and electromagnetism is proposed by considering two aspects of torsion: its relation to spin established in Einstein–Cartan theory and the possible interpretation of the torsion trace as the electromagnetic potential. Starting with a Lagrangian built of Dirac spinors, orthonormal tetrads, and a complex rather than a real linear connection we define an...

Space-times with Torsion

We study models of axi-dilaton gravity in space-time geometries with torsion. We discuss conformal rescaling rules in both Riemannian and non-Riemannian formulations. We give static, spherically symmetric solutions and examine their singularity behaviour. PACS numbers: 04.50.+h, 04.20.Jb, 04.70.Bw E.mail: [email protected] E.mail: [email protected] 1

New Insight into the Relation between Torsion and Electromagnetism

In several unified field theories the torsion trace is set equal to the electromagnetic potential. Using fibre bundle techniques we show that this is no leading principle but a formal consequence of another geometric relation between space-time and electromagentism. ∗E-mail: [email protected] Torsion in general relativity is commonly studied within the framework of Einstein–Carta...

Geometric Interpretation of Electromagnetism in a Gravitational Theory with Torsion and Spinorial Matter