Velocity rotation curves in the gravimagnetic dipole spacetime

TL;DR

This paper investigates the motion of particles in a unique spacetime with two black holes connected by a string, calculating their circular velocities to understand the gravitational effects of this configuration.

Contribution

It provides a detailed analysis of particle geodesics and rotation velocities in the gravimagnetic dipole spacetime, a novel black hole configuration with a tensionless string.

Findings

Identified circular geodesics for massive and massless particles.

Computed rotation velocities along these geodesics.

Analyzed the influence of the black holes and string on particle motion.

Abstract

The gravimagnetic dipole spacetime consists of two counter-rotating black holes of equal mass connected by a Misner string. For a particular distance in between them, the string is tensionless with the black holes at equilibrium with each other. The geodesics of relativistic massive, or massless particles are considered, leading to the identification of circular rotation trajectories. The velocities of these trajectories are computed.