Correlation of magnetic moments and angular momenta for stars and planets

TL;DR

This paper proposes a theoretical explanation linking magnetic moments and angular momenta of celestial bodies through Maxwell equations and gravitational tensors, suggesting a common electromagnetic origin.

Contribution

It introduces a new function derived from gravitational and angular momentum tensors that satisfies Maxwell equations, explaining the observed correlation between magnetic moments and angular momenta.

Findings

The function $\Phi_{lm}$ satisfies Maxwell equations.

The correlation between magnetic moments and angular momenta can be explained by this function.

The Earth's electric field may be generated by its rotation.

Abstract

The observed correlation of the angular momenta $L^{ik}$ and magnetic moments $\mu_{lm}$ of celestial bodies (the Sun, planets and stars) was discussed by many authors but without any explanation. In this paper a possible explanation of this phenomenon is suggested. It is shown that the function $\Phi_{lm} =(\eta/r_g)L^{ik}R_{iklm}$ satisfy Maxwell equations and can be considered as a function which determine the electro-magnetic properties of rotating heavy bodies. The $R_{iklm}$ is the Riemann tensor, which determines the gravitational field of the body, $r_g$ is the gravitational radius of the body, and $\eta$ is the constant which has to be determined by observations. The field $\Phi_{lm}$ describe the observed $\mu \leftrightarrow L$ correlation. In particular the function $\Phi_{l0}$ describe the electric field created by rotating heavy bodies. It is possible that the observed electric field of the Earth is created by the Earth rotation