Abstract
The gravitational properties of the neutrino are studied in the weak-field approximation. By imposing the Hermiticity condition, , and invariance on the energy-momentum tensor matrix element, we show that the allowed gravitational form factors for Dirac and Majorana neutrinos are very different. In a - and -invariant theory, the energy-momentum tensor for a Dirac neutrino of the same species is characterized by four gravitational form factors. As a result of invariance, the energy-momentum tensor for a Majorana neutrino of the same species has five form factors. In a -invariant theory, if the initial and final Majorana neutrinos have the same (opposite) parity, then only tensor-(pseudotensor-)type transitions are allowed.
- Received 11 June 1992
DOI:https://doi.org/10.1103/PhysRevD.47.5187
©1993 American Physical Society