Kerr‐like neutrino‐gravitational solutions

Abstract
Two distinct stationary axisymmetric Kerr‐like neutrino‐gravitational space–times are presented. They reduce to the Kerr solution when the neutrino field vanishes. In addition, the first solution possesses physical line singularities along the axis of symmetry; whereas the second solution is asymptotically flat and its locally bounded Riemann tensor is discontinuous at the equatorial plane. Both metrics are of Petrov type II and their neutrino fields belong to type [2N‐2S](2−1) in the Plebański classification.

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