Finslerian fibered extension of gauge field theory: Lie-invariance in fibres and effective Lagrangian (Q582609)

The article is mainly focused on the description of the type of solutions to the Einstein, Maxwell and Yang-Mills equations when all the fibres admit a Lie-group structure. From the contents of the paper: Lie- invariance in the fibres, choices of the normal coordinates in the fibres, gauge fields associated with spinor isomultiplets, consequences of metric conditions, Lie-invariant isospinors, generalization of the Klein-Gordon and Dirac equations, the Lagrangian and the field equations under symmetric application of the spinor conditions, vacuum solutions, effective Lagrangian for Lie-invariant solutions, occurrence of gauge- field mass of matter with respect to the Killing vacuum.