Abstract
If the space-time has a space-like Killing symmetry, the three-dimensional spin coefficient technique, which was useful for time-like symmetry, can be applied again. This paper contains the spin coefficient forms of the Einstein equation and the Ricci and Weyl tensors.
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Lukács, B. The application of SU (1,1) spin coefficients for space like symmetry. Acta Physica 41, 137–144 (1976). https://doi.org/10.1007/BF03157513
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DOI: https://doi.org/10.1007/BF03157513