Einstein's equations and Clifford algebra (Q1579067)

The paper is devoted to an interesting new formulation of Einstein's equations of the general theory of relativity within a Clifford algebra having four generators \(e_0,e_1,e_2,e_3\). This algebra is otherwise isomorphic to a direct product of two quaternion algebras. A multivector calculus is developed within the Clifford algebra which differs from the corresponding complexified algebra used in the standard space-time algebra approach.