Space-time geometry and the bundle of biframes

Summary

The geometry associated with a new principal fiber bundle over space-time, the bundle of biframesL ² M, was developed in the first paper of this two-part series. In this paper we show that the already unified theory of Rainich, Misner and Wheeler (RMW) has a natural reformulation, and extension, in terms of the geometry associated with the bundle of biframes. In particular, the bitorsion structure equation onL ² M is shown to reduce, under suitable restrictions, to the Maxwell equations with geometrical sources. These special restrictions are precisely a generalization of the RMW differential condition. Furthermore, we show that the entire RMW program can be extended to include Einstein-Maxwell space-times with partially geometrical sources. This generalization introduces a second complexion vector, in addition to the standard RMW complexion vector, and the generalization reduces in the special case of no sources to the standard RMW theory.