Loop variables and gravitational Berry's quantum phase in the space-time of a rotating massive body

TL;DR

This paper explores the gravitational Aharanov-Bohm effect and Berry's quantum phase for scalar particles in the spacetime of a rotating massive body, revealing quantum effects induced by gravitational holonomies.

Contribution

It provides the first detailed calculation of gravitational holonomies and Berry's phase in the spacetime of a rotating mass, linking quantum phases to gravitational effects.

Findings

Holonomies computed for curves in rotating spacetime.

Demonstration of gravitational Aharanov-Bohm effect.

Berry's phase depends on the spacetime's rotation and mass.

Abstract

In this paper we compute the holonomies along curves in the gravitational field of a slowly rotating massive body. We use our results to study the gravitational analogue of Aharanov-Bohm effect in this space-time. We also investigate the behaviour of a scalar quantum particle in this space-time and determine Berry's quantum phase acquired by this particle when transported along a closed curve surrounding the body.