On a generalized gravitational Aharonov-Bohm effect

TL;DR

This paper explores a gravitational analog of the Aharonov-Bohm effect, demonstrating that a massless spinor's wavefunction depends on a rotating body's angular momentum without affecting spacetime curvature.

Contribution

It generalizes the gravitational Aharonov-Bohm effect by showing wavefunction dependence on angular momentum in a weak gravitational field.

Findings

Wavefunction depends on angular momentum of rotating body

Curvature remains unaffected in the weak field approximation

Generalizes the gravitational Aharonov-Bohm effect

Abstract

A massless spinor particle is considered in the background gravitational field due to a rotating body. In the weak field approximation it is shown that the solution of the Weyl equations depend on the angular momentum of the rotating body, which does not affect the curvature in this approximation. This result may be looked upon as a generalization of the gravitational Aharonov-Bohm effect.