Spin coefficients for four-dimensional neutral metrics, and null geometry - Mathematics > Differential GeometryReport as inadecuate




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Abstract: Notation for spin coefficients for metrics of neutral signature in fourdimensions is introduced. The utility and interpretation of spin coefficientsis explored through themes in null geometry familiar from complex generalrelativity. Four-dimensional Walker geometry is exploited to provide examplesand the generalization of the real neutral version of Pleba\~nski-s 1975second heavenly equation to certain Walker geometries given in Law andMatsushita 16 is extended further.



Author: Peter R. Law

Source: https://arxiv.org/



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