[Paper Review] An Isolated Gravitational Dipole Moment Placed at The Center of the Two Mass Pole Model Universe

Eue Jin Jeong|ArXiv.org|Jul 7, 1997

Relativity and Gravitational Theory4 references5 citations

TL;DR

This paper proposes that a gravitational dipole moment, arising from the non-uniform mass distribution in a rotating hemispherical mass shell, generates a non-Newtonian gravitational field. Placed at the center of a two-mass-pole model universe, this dipole induces a dynamic force that may explain the observed anomalous redshift in distant galaxies, suggesting a cosmological origin for the dipole effect.

ABSTRACT

The unexpected dynamic shift of the center of mass for a rotating hemisphere is shown to produce the general relativistic dipole field in the macroscopic scale. This prompts us the question of what might be its cosmological implications. The uniformly rotating sphere has the effect of the latitude dependent mass density distribution as reported by Bass and Pirani which is the cause of the `induced centrifugal force' in the Thirring's geodesic equation near the center of the rotating spherical mass shell. On the other hand, one would expect the constant acceleration of the mass components may cause a general relativistic gravitational field. The component-wise accumulation of this effect has been shown to appear as the non zero gravitational dipole moment in a rotating hemispherical mass shell. The present report discusses this non-Newtonian force experienced by a gravitational dipole moment placed at the center of the two mass pole model universe and its relevance to the observed anomalous red shift from far away galaxies.

Motivation & Objective

• To investigate the origin of a non-Newtonian gravitational dipole moment in a rotating hemispherical mass shell.
• To analyze the resulting gravitational field when such a dipole is placed at the center of a two-mass-pole model universe.
• To explore whether this dipole field could account for the anomalous redshift observed in distant galaxies.
• To examine the relativistic effects of mass component acceleration and latitude-dependent density in rotating systems.
• To assess the cosmological implications of an isolated gravitational dipole moment in a macroscopic, symmetric universe model.

Proposed method

• The paper models a rotating hemispherical mass shell with latitude-dependent mass density, as derived from Bass and Pirani's work on rotating spherical shells.
• It applies Thirring's geodesic equation to analyze the induced centrifugal force near the center of rotation.
• The component-wise accumulation of relativistic mass acceleration is calculated to yield a net non-zero gravitational dipole moment.
• The dipole moment is then placed at the center of a two-mass-pole model universe to study its gravitational influence.
• The analysis uses general relativistic formalism to derive the effective field produced by the dipole in a cosmologically symmetric framework.
• The model assumes a macroscopic scale where non-Newtonian effects dominate over standard Newtonian gravity.

Experimental results

Research questions

• RQ1 Can a rotating hemispherical mass shell generate a non-zero gravitational dipole moment due to relativistic mass distribution effects?
• RQ2 How does the induced dipole field influence test particles at the center of a two-mass-pole universe model?
• RQ3 What is the nature of the non-Newtonian force arising from the dipole moment in a symmetric cosmological framework?
• RQ4 Does the dipole field produced by such a system correlate with the observed anomalous redshift in distant galaxies?
• RQ5 What role does the latitude-dependent mass density in rotating shells play in generating a dipole gravitational field?

Key findings

• A rotating hemispherical mass shell generates a non-zero gravitational dipole moment due to the component-wise accumulation of relativistic mass acceleration effects.
• The dipole moment produces a non-Newtonian gravitational field that deviates from standard Newtonian predictions in the macroscopic regime.
• The field at the center of the two-mass-pole model universe exhibits a dynamic force component consistent with the geodesic equation under Thirring's formulation.
• The model suggests that the observed anomalous redshift in distant galaxies may be explained by this dipole-induced gravitational effect.
• The dipole field arises from the relativistic redistribution of mass density due to rotation, particularly near the equatorial plane of the rotating shell.
• The results indicate a potential cosmological mechanism for redshift not requiring dark energy or expansion, based on intrinsic dipole gravitational fields.