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Geometrodynamics in Multidimensional Unified Theories
Authors:László Szabó
Affiliation:(1) Institute for Theoretical Physics Eötvös University, Puskin u. 5-7, 1088 Budapest VIII, Hungary
Abstract:The unified theory of gravitation and a Yang-Mills field is formulated as a dynamical theory of (r+3) geometries presumed to be principal bundles endowed with a Riemannian metric. Beyond the usual constraint equations the second fundamental form should satisfy a third constraint equation. It is shown that they have a wormhole-type solution describing a pair of Yang-Mills charges.
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