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An excellent account of the Goldberg-Sachs theorem and spinor methods is given in J. Stewart, Advanced General Relativity, Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, England, 1991). The standard reference on spinor methods and the Newman-Penrose formalism is R. Penrose and W. Rindler, Spinors and Spacetime 1: Two-spinor calculus and relativistic fields (Cambridge University Press, Cambridge, England, 1984).
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I. S. Gradshteyn and I. M. Ryzhik, in Table of Integrals, Series, and Products, VIth ed., edited by A. Jeffrey (Academic, London, 1994).
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