A Geometric Framework for Unification of Gravity and Electromagnetism

In this paper, transitive Lie algebroids bundles, whose kernels are line bundles, provide a structure for unification of gravity and electromagnetism and geometrization of matter. The field equations are derived from an action principle which is formed naturally by the scalar curvature of the Lie algebroid. The derived equations not only contain the Einstein and Maxwell equations simultaneously, but also describe the effects of matter in the field equations.