Abstract
Conditions are given on the metric of a space-time for it to admit a neutrino-gravitational field. The method described involves comparing the spin coefficients of a suitably defined tetrad of null vectors. It is used to obtain the class of space-times which admits a neutrino field or a non-null electromagnetic field. The classes of space-time which admit two different neutrino fields are also described.
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Griffiths, J.B. A contribution to the rainich theory of the neutrino field II. Int J Theor Phys 9, 253–261 (1974). https://doi.org/10.1007/BF01810697
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DOI: https://doi.org/10.1007/BF01810697