Gravito-magnetic gyroscope precession in Palatini f(R) gravity

TL;DR

This paper investigates how Palatini f(R) gravity affects gravito-magnetic gyroscope precession, finding that the effects are negligible and undetectable with current or near-future technology.

Contribution

It provides the first analysis of gravito-magnetic precession within Palatini f(R) gravity using Kerr-de Sitter solutions, demonstrating the minimal observable impact.

Findings

f(R) gravity effects on gyroscope precession are negligible

Current space missions cannot detect f(R) contributions

f(R) modifications do not significantly alter Kerr-de Sitter precession

Abstract

We study gravito-magnetic effects in the Palatini formalism of f(R) gravity. On using the Kerr-de Sitter metric, which is a solution of f(R) field equations, we calculate the impact of f(R) gravity on the gravito-magnetic precession of an orbiting gyroscope. We show that, even though an $f(R)$ contribution is present in principle, its magnitude is negligibly small and far to be detectable in the present (like GP-B) and foreseeable space missions or observational tests around the Earth.