Applications to General Relativity
The spinor formalism employed in the four-dimensional space-time of general relativity is more powerful and basic than the tensor formalism and, as the latter, can be applied to express a field equation in space-plus-time form in terms of covariant derivatives associated with the intrinsic geometry of spacelike or timelike hypersurfaces (see, e.g., Sommers 1980, Sen 1982, Shaw 1983a, 1983b, Ashtekar 1987, 1991).
KeywordsRiemannian Manifold Covariant Derivative Extrinsic Curvature Spinor Component Spinor Field
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