Torsion, massive electrodynamics and gravitation induced by scalar fields

Physics

Scientific paper

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Field Theory (Physics), Gravitational Fields, Lagrangian Equilibrium Points, Scalars, Electrodynamics, Electromagnetic Fields, Wave Equations

Scientific paper

The equivalence of a Lagrangian containing gravitational, electromagnetic, scalar, and torsion fields is discussed. A Lagrangian describing a massive photon coupling with the gravitational field in a space-time with torsion is generalized. Field equations derived from the Lagrangian are analyzed by varying scalar field and electromagnetic potentials. The variation of the scalar field leads to a torsion wave equation based on the electromagnetic field invariant, which is very similar to the torsion wave equation of Sabbata and Gasperini (1984) and reduces to the equation of Gasperini (1987) when the coupling constant vanishes. The photon-torsion coupling constant is based on the scalar field. It is concluded that the interaction is mediated by the scalar field.

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