Wave Equations for Classical Two-Component Proca Fields in Curved Spacetimes with Torsionless Affinities
Abstract
The world formulation of the full theory of classical Proca fields in generally relativistic spacetimes is concisely reviewed and the entire set of pertinent field equations is transcribed in a straightforward way into the framework of one of the Infeld-van der Waerden formalisms. Some well-known calculational techniques are then utilized for deriving the wave equations that control the propagation of the fields allowed for. It appears that no interaction couplings between such fields and electromagnetic curvatures are carried by the wave equations at issue. What results is, in effect, that the only interactions which ultimately occur in the theoretical context under consideration involve strictly Proca fields and wave functions for gravitons.
Cite
@article{arxiv.1502.00247,
title = {Wave Equations for Classical Two-Component Proca Fields in Curved Spacetimes with Torsionless Affinities},
author = {S. I. Santos Junior and J. G. Cardoso},
journal= {arXiv preprint arXiv:1502.00247},
year = {2022}
}
Comments
Many improvements on the paper have still been made. In particular, its title has been modified so as to conform further to one of its main aims