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Construction of Af Ax First and second class
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according admits a unique algebraic Assume basic null vectors basic scalars basic vectors chapter Christoffel symbols complex conjugates connection coordinate system covariant derivative curvature tensor defined Definition denote density of weight eigenvector Einstein electromagnetic field equation is equivalent expressed in terms factors of proportionality field equations follows easily geometrical given gravitational field gravitational theory Hence Hlavaty holds homogeneous coordinates indices kwll law of inertia least one solution Lemma line geometry lineal element linear mations matrix Maxwell's equations metric tensor momentum energy tensor Moreover necessary and sufficient nonholonomic components nonholonomic frame Note proof follows proof of Theorem proved simultaneously pseudotensors quadric Remark satisfy the condition second class skew symmetric spinor Substituting sufficient condition symbols tensor field tensor g tensorial form Theorem Theorem 5.2 third class transformations Unified Field Theory unified theory Wkxv yields