Determining Exact Solutions in a Class of Non-Riemannian Theories of Gravitation

Long ago, Einstein proposed a non-Riemannian extension of general relativity founded upon the notion of a non-symmetric metric.\footnote{A.~Einstein, {\it The Meaning of Relativity}, $5^{\text{{th}}}$ ed., (Princeton, 1955).} Variations on this theme have been reconsidered a number of times since then, but each time interest has waned, owing, in part, to a paucity of phenomenologically viable exact solutions of these theories. Recent progress in the determination of isotropic exact solutions of an alternative theory of gravitation of this type will be described.