Correlation of magnetic moments and angular momenta for stars and planets

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