Einstein-Grossmann geometry for frequency shifts of retrograde and direct orbits

TL;DR

This paper explores how Einstein's geodesics in a rotating metric predict measurable frequency shifts and differences in orbital speeds for direct and retrograde orbits, extending classical gravity models.

Contribution

It introduces a novel application of Einstein-Grossmann geometry to explain frequency shifts and orbital differences in rotating gravitational systems.

Findings

Predicts Zeeman-like frequency shifts in Keplerian orbits

Shows measurable differences in orbital speeds of direct and retrograde orbits

Demonstrates the influence of metric gyro-potentials on orbital dynamics

Abstract

The metric gyro-potential of rotating distributions creates centripetal forces that can override Newtonian attraction on the inner and near-zone orbits. Einstein's geodesics in four metric potentials predict Zeeman-like shifts of Keplerian frequencies and measurable differences in the orbital speeds of direct and retrograde circulations.