 
Summary: arXiv:grqc/0604003v11Apr2006
CONFINEMENT IN EINSTEIN'S UNIFIED FIELD THEORY
SALVATORE ANTOCI, DIERCKEKKEHARD LIEBSCHER, AND LUIGI MIHICH
Abstract. After recalling the mathematical structure of Einstein's Her
mitian extension of the gravitational theory of 1915, the problem, whe
ther its field equations should admit of phenomenological sources at
their righthand sides, and how this addition should be done, is ex
pounded by relying on a thread of essential insights and achievements by
Schr¨odinger, Kur¸sunoglu, Lichnerowicz, H´ely and Borchsenius. When
sources are appended to all the field equations, from the latter and from
the contracted Bianchi identities a sort of gravoelectrodynamics appears,
that totally departs from the so called EinsteinMaxwell theory, since its
constitutive equation, that rules the link between inductions and fields,
is a very complicated differential relation that allows for a much wider,
still practically unexplored range of possible occurrences.
In this sort of theory one can allow for both an electric and a magnetic
fourcurrent, which are not a physically wrong replica of each other,
like it would occur if both these currents were allowed in Maxwell's
vacuum. Particular static exact solutions show that, due to the peculiar
constitutive equation, while electric charges with a pole structure behave
