Abstract
The equations of the formalism developed in part I are simplified by specialisation of the basic pair of null directions. The auxiliary vectors previously introduced are shown to have intrinsic geometric properties which are directly related to the complexity of the differential operators of the formalism. An Ansatz based on these properties is introduced and the calculation of the metric so defined is used to display the connection between the coordinate-free and coordinate-dependent solutions.
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Communicated by J. Ehlers
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Held, A. A formalism for the investigation of algebraically special metrics. II. Commun.Math. Phys. 44, 211–222 (1975). https://doi.org/10.1007/BF01608833
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DOI: https://doi.org/10.1007/BF01608833