Conservation laws in a generalized theory of gravitation

The conservation laws are derived for a generalized theory of gravitation which includes electromagnetism within the framework of a nonsymmetric Hermitian $g_{\mu \nu }$. The field equations are interpreted in terms of a local Maxwell-type field, which has associated with it a conserved current density. In the static spherically symmetric case, this is shown to give rise to an extended charge distribution which is not phenomenologically inserted, but is a known function of the field variables. The finite classical self-mass and self-charge of an extended particle are studied in the context of the static spherically symmetric solution.