Global aspects of gravitomagnetism

TL;DR

This paper explores the global properties of gravitomagnetism, demonstrating that a rotating cosmic string's gravitomagnetic field, though locally zero, can be detected globally, akin to a gravitational Aharonov-Bohm effect.

Contribution

It introduces the concept that gravitomagnetic effects can be globally detectable even when locally absent, using cosmic strings as a model.

Findings

Locally zero gravitomagnetic field for rotating cosmic strings

Global detection of gravitomagnetic effects

Analogy with gravitational Aharonov-Bohm effect

Abstract

We consider global properties of gravitomagnetism by investigating the gravitomagnetic field of a rotating cosmic string. We show that although the gravitomagnetic field produced by such a configuration of matter vanishes locally, it can be detected globally. In this context we discuss the gravitational analogue of the Aharonov-Bohm effect.