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searching for Abstract index notation 3 found (117 total)

ADM formalism (2,392 words) [view diff] exact match in snippet view article find links to article

adopt notation in which four dimensional tensors are written in abstract index notation, and that Greek indices are spacetime indices taking values (0

Conformal Killing vector field (1,308 words) [view diff] exact match in snippet view article find links to article

symmetric part, one can write the conformal Killing equation in abstract index notation as ∇ a X b + ∇ b X a = 2 n g a b ∇ c X c . {\displaystyle \nabla

Klein–Gordon equation (6,563 words) [view diff] exact match in snippet view article find links to article

a spacetime (Lorentzian) manifold M {\displaystyle M} . Using abstract index notation and in mostly plus signature this is Klein–Gordon action on curved