The massless Dirac equation is considered in the presence of weak external gravitational fields. In the presence of fields arising from moving mass currents, solutions are found which are analogous to those giving rise to the Aharonov-Bohm effect in electromagnetic theory. The mass currents play the role of the magnetic fields. Comparison is made with earlier analogous solutions by Plebanski and by Balazs and Bertotti, and an alternative physical interpretation is offered in which simply connected currents can produce an effect which is observable in principle.
- 1 - sciences appliquees, technologies et medecines ; 2 - sciences exactes et technologie ; 3 - physique ; 4 - etat condense: structure electronique, proprietes electriques, magnetiques et optiques