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Newman-Penrose approach to twisting degenerate metrics

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Abstract

The well known method ofNewman andPenrose is used to find solutions of the Einstein empty space field equations, which are algebraically special and where the degenerate principal null vectors are not hypersurface orthogonal. As is to be expected the method systematically yields the results obtained byKerr. An explanation is given of the complex coordinate transformation technique of generating new metrics from Schwarzschild's; also a generalisation of Kerr and Schild type metrics is investigated.

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Authors and Affiliations

  1. Department of Mathematics, University of Bradford, UK

    C. J. Talbot

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  1. C. J. Talbot
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This work was completed as part of a proposed Ph. D. Thesis, while the author was receiving a Research Studentship Grant from the University of Bradford.

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Talbot, C.J. Newman-Penrose approach to twisting degenerate metrics. Commun.Math. Phys. 13, 45–61 (1969). https://doi.org/10.1007/BF01645269

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