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The Wave Equation for the Lanczos Potential. I

1994
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Proceedings of the Royal Society A
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The non-local part of the gravitational field in general relativity is described by the 10 component conformal curvature tensor of Weyl. For this field Lanczos found a tensor potential Labc with 16 indep make Labc have only 10 effective degrees of freedom by imposing the 6 gauge conditions L abs-S -0. Both fields Cabcd , Labc satis equation satisfied by Cabcd is nonlinear, even vacuo. However, a linear spinor wave equation for the Lanczos potential has been found by Illge but no correct tensor

doi:10.1098/rspa.1994.0155
fatcat:zqbga2hf35emhpr6r7pih26kv4