Gravitational Effects of Rotating Bodies

TL;DR

This paper investigates gravitational effects on rotating bodies, proposing a new spin-spin coupling model that could violate the equivalence principle, supported by observational limits from planetary precession.

Contribution

It introduces a novel spin-spin coupling model for mechanical gyroscopes and provides theoretical predictions that challenge the equivalence principle.

Findings

Upper limit on spin-spin coupling strength from planetary precession data

Predictions of equivalence principle violations for free-fall gyroscopes

Theoretical framework linking relativity, spin interactions, and gravitational effects

Abstract

We study two type effects of gravitational field on mechanical gyroscopes (i.e. rotating extended bodies). The first depends on special relativity and equivalence principle. The second is related to the coupling (i.e. a new force) between the spins of mechanical gyroscopes, which would violate the equivalent principle. In order to give a theoretical prediction to the second we suggest a spin-spin coupling model for two mechanical gyroscopes. An upper limit on the coupling strength is then determined by using the observed perihelion precession of the planet's orbits in solar system. We also give predictions violating the equivalence principle for free-fall gyroscopes .