Ghost Neutrinos in Einstein-Cartan Theory

摘要

It is shown that ghost neutrino fields can occur in Einstein-Cartan theory as well as in general relativity, contrary to an earlier result of Letelier. A proof that the conditions for ghost neutrinos used by Letelier were unnecessarily strong, and that in Einstein-Cartan theory exact solutions exist for which the canonical energy-momentum tensor vanishes while the neutrino current vector remains non-zero, is given. An exact solution is presented in terms of a Newman-Penrose formalism.