Rotation Effects and The Gravito-Magnetic Approach

TL;DR

This paper explores the use of gravito-electromagnetic fields to describe relativistic rotation effects, introduces a gravito-magnetic Aharonov-Bohm effect, and proposes measuring celestial angular momentum via electromagnetic signals.

Contribution

It develops a full theory formalism using 1+3 splitting to describe gravito-electromagnetic effects and introduces a novel gravito-magnetic Aharonov-Bohm effect for interpreting rotation phenomena.

Findings

Formalism describes relativistic dynamics with gravito-electromagnetic fields.

Introduces a gravito-magnetic Aharonov-Bohm effect.

Proposes measuring celestial angular momentum through electromagnetic signals.

Abstract

Gravito-electromagnetism is somewhat ubiquitous in relativity. In fact, there are many situations where the effects of gravitation can be described by formally introducing "gravito-electric" and "gravito-magnetic" fields, starting from the corresponding potentials, in analogy with the electromagnetic theory (see also A. Tartaglia's contribution to these proceedings). The "many faces of gravito-electromagnetism" are related to rotation effects in both approximated and full theory approaches. Here we show that, by using a 1+3 splitting, relativistic dynamics can be described in terms of gravito-electromagnetic (GEM) fields in full theory. On the basis of this formalism, we introduce a "gravito-magnetic Aharonov-Bohm effect", which allows to interpret some rotation effects as gravito-magnetic effects. Finally, we suggest a way for measuring the angular momentum of celestial bodies by studying the gravito-magnetic effects on the propagation of electromagnetic signals.