Concerning Measurement of Gravitomagnetism in Electromagnetic Systems

TL;DR

This paper proposes a theoretical method to measure gravitomagnetic fields using electromagnetic interactions in stationary gravitational fields, highlighting the limitations of superconducting quantum interferometers for such measurements.

Contribution

It introduces a new theoretical approach for detecting gravitomagnetic fields via electromagnetic effects and analyzes the limitations of existing magnetometers in this context.

Findings

Superconducting quantum interferometers cannot measure gravitomagnetic fields due to cancellation effects.

The proposed method involves detecting electric fields generated by gravitomagnetic interactions.

Theoretical analysis aligns with existing experimental results on electromagnetic measurements in gravitational fields.

Abstract

Measurement of gravitomagnetic field is of fundamental importance as a test of general relativity. Here we present a new theoretical project for performing such a measurement based on detection of the electric field arising from the interplay between the gravitomagnetic and magnetic fields in the stationary axial-symmetric gravitational field of a slowly rotating massive body. Finally it is shown that precise magnetometers based on superconducting quantum interferometers could not be designed for measurement of the gravitomagnetically induced magnetic field in the cavity of a charged capacitor since they measure the circulation of a vector potential of electromagnetic field, i.e., an invariant quantity including the sum of electric and magnetic fields, and the general-relativistic magnetic part will be totally cancelled by the electric one which is in good agreement with the experimental results.