A note on generalized electrodynamics

Abstract

The generalized Maxwell equations with arbitrary gauge parameter are considered in the $11\times 11$-matrix form. The gauge invariance of such a model is broken due to the presence of a scalar field. The canonical and symmetrical Belinfante energy-momentum tensors are found. The dilatation current is obtained and we demonstrate that the theory possesses the dilatation symmetry. The matrix Schrödinger form of equations is derived. The non-minimal interaction in curved space-time is introduced and equations are considered in Friedmann - Robertson - Walker background. We obtain some solutions of equations for the vector field.

17 pages, typos corrected, extended version, references added

References in corpus (5)

• Vector Inflation
• Interacting Vector-like Dark Energy, the First and Second Cosmological Coincidence Problems
• Vector theories in cosmology
• Dark energy as a massive vector field
• Cosmological evolution in vector-tensor theories of gravity