A Probe Particle in Kerr-Newman-deSitter Cosmos

TL;DR

This paper investigates the forces on a spinning charged test particle near a Kerr-Newman-deSitter black hole, revealing conditions for force balance that suggest the potential for exact solutions of multi-black hole configurations.

Contribution

It analyzes the gravitational spin-spin interaction for a charged spinning particle in a slow rotating KNdS black hole, highlighting conditions for force cancellation and possible exact solutions.

Findings

Force balance occurs when Q=M and q=m, including spin-spin interaction.

Motion of the particle approximates that in deSitter space under certain conditions.

Force cancellation indicates the potential for exact multi-KNdS black hole solutions.

Abstract

We consider the force acting on a spinning charged test particle (probe particle) with the mass m and the charge q in slow rotating the Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We consider the case which the spin vector of the probe particle is parallel to the angular momentum vector of the KNdS space-time. We take account of the gravitational spin-spin interaction under the slow rotating limit of the KNdS space-time. When Q=M and q=m, we show that the force balance holds including the spin-spin interaction and the motion is approximately same as that of a particle in the deSitter space-time. This force cancellation suggests the possibility of the existence of an exact solution of spinning multi-KNdS black hole.