Abstract
A detailed outline is presented of several convergent points of view connecting the self-dual and anti-self-dual fields with their free data. This is done for the Maxwell and for linearized gravity as exemplifying the approaches. The Sparling equation provides one tool of great power and characterizes one approach. The twistor theory of Penrose yields another equally powerful point of view. The links between these two basic approaches given in this paper provide a unification that allows workers and others with interest in this area to proceed more readily toward the goal of understanding the full nonlinear Einstein equations.
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This work has been partially supported by a grant from the NSF.
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Kozameh, C.N., Newman, E.T. & Porter, J.R. Maxwell's equations, linear gravity, and twistors. Found Phys 14, 1061–1081 (1984). https://doi.org/10.1007/BF01882489
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DOI: https://doi.org/10.1007/BF01882489