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Pré-Publication, Document De Travail Année : 2021

More on the Geometric Approach for Gravitation Coupled with Electromagnetism within a Riemann-Cartan Vacuum Spacetime

Résumé

The goal of this paper is to link the geometric variables of four-dimensional spacetime with electromagnetic and gravitational fields. For that purpose, assuming a Hilbert-Einstein action with Yang-Mills action, we derive both the gravitation and the electromagnetic equation within a Riemann-Cartan spacetime where curvature and torsion are present. We thus show that the gravitational and electromagnetic fields are respectively identified as geometric objects of such a spacetime, namely the curvature for gravitation which is a classical result, and the torsion as electromagnetic fields. Moreover, the torsion tensor of the spacetime is related to the so-called flux spin angular momentum of electromagnetic waves propagating within the spacetime.
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hal-03216920 , version 1 (04-05-2021)

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  • HAL Id : hal-03216920 , version 1

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Lalaonirina R Rakotomanana. More on the Geometric Approach for Gravitation Coupled with Electromagnetism within a Riemann-Cartan Vacuum Spacetime. 2021. ⟨hal-03216920⟩
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