  Yang-mills field equations describe new forces in the context of Lie groups
and principle bundles. It is of interest to know if the new forces and
gravitation can be described in the context of algebroids. This work was
intended as an attempt to answer last question. The basic idea is to construct
Einstein field equation in an algebroid bundle associated to space-time
manifold. This equation contains Einstein and yang-mills field equations
simultaneously. Also this equation yields a new equation that can have
interesting experimental results.
