Gravitational Field of a Moving Spinning Point Particle

TL;DR

This paper derives the gravitational and electromagnetic fields of a moving charged spinning particle in a covariant form, showing that the self forces vanish and the proper time matches special relativity at the particle's location.

Contribution

It presents a covariant transformation of the Kerr-Newman solution for a moving charged spinning particle, demonstrating the vanishing of self forces in this context.

Findings

Proper time at the particle matches special relativity.

Gravitational and electromagnetic self forces vanish.

Fields are expressed in a covariant form.

Abstract

The gravitational and electromagnetic fields of a moving charged spinning point particle are obtained in the Lorentz covariant form by transforming the Kerr--Newman solution in Boyer--Lindquist coordinates to the one in the coordinate system which resembles the isotropic coordinates and then covariantizing it. It is shown that the general relativistic proper time at the location of the particle is the same as the special relativistic one and the gravitational and electromagnetic self forces vanish.