Gravitomagnetic effects of a massive and slowly rotating sphere with an equatorial mass current on orbiting test particles

TL;DR

This paper calculates how a rotating sphere with an equatorial mass current influences the orbit precession of test particles, highlighting the increased effects due to the ring within linearized Einstein gravity.

Contribution

It introduces a model for gravito-magnetic effects of a rotating sphere with an equatorial ring, extending previous analyses to include matter currents.

Findings

The presence of the ring amplifies orbit precession effects.

Linearized Einstein equations effectively describe gravito-magnetic influences.

The model predicts measurable deviations in orbit precession due to the ring.

Abstract

Within the framework of linearized Einstein field equations we compute the gravito-magnetic effects on a test particle orbiting a slowly rotating, spherical body with a rotating matter ring fixed to the equatorial plane. Our results show that the effect on the precession of particle orbits is increased by the presence of the ring.