Non-Newtonian Dynamic Gravitational Field from The Longitudinally Asymmetric Rotating Objects

Abstract

The dynamic shift of the center of mass for a rotating hemisphere prompts us the question of what might be its physical consequences. Despite the fact that accelerating object is known to create gravitational field, there is no known external dynamic gravitational force from a rotating sphere where the individual mass components are in constant acceleration. However, Thirring's `induced centrifugal force' and the component of the force along the longitudinal axis inside a rotating spherical shell indicate that they are non-radiative dynamic forces which depend on $ω^2$. In this report, Thirring's force is derived by considering the component-wise acceleration of the rotating hemisphere in the weak field approximation. This new analytic solution provides the gravitational explanation of the jet phenomena observed from the fast rotating cosmological bodies, which demands a major revision in our understanding of the universe since it suggests there exists a strong, long ranged, non-Newtonian dynamic gravitational force in our universe. This also raises an interesting question of how the strength of the dipole moment can be maximized for a given mass by configuring the specific geometrical shape of the rotating source.