  We present a theory of gravity based on Einstein's general relativity that is
motivated by the paradoxes associated with time in relativistic rotating frames
and certain exact solutions of Einstein's equations. We show that we can
resolve these paradoxes with a single postulate, namely, the preservation of
the local properties of time. This postulate forces the introduction of four
additional degrees of freedom into the space-time structure whose
transformation properties are defined to preserve the local properties of time
under arbitrary four-dimensional coordinate transformations. We identify these
additional degrees of freedom with the electromagnetic potentials, which
thereby acquire a space-time interpretation. The resulting theory is similar to
the traditional Einstein-Maxwell theory, differing primarily in the emergence
of a coupling between the gravitational and electromagnetic fields. We show
that the proposed reformulation of general relativity provides a rich framework
for addressing a number of outstanding problems in contemporary gravitational
physics.
