Machado Ramos, M.P. and Vickers, J.A.G.
A spacetime calculus based on a single null direction
Classical and Quantum Gravity, 13, . (doi:10.1088/0264-9381/13/6/022).
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A spacetime calculus based on a single null direction is developed. The fundamental objects are totally symmetric spinors formed from the Ricci rotation coefficients together with four new differential operators which only depend upon the choice of O A up to a complex scaling. The formalism combines features of the GHP formalism with those of one which is invariant under null rotations. Einstein's equations and the full Bianchi identities are given in this new formalism.
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