Light deflection in the gravimagnetic dipole spacetime

TL;DR

This paper investigates gravitational lensing effects caused by the gravimagnetic dipole spacetime, a solution describing two black holes with opposite NUT charges, using numerical simulations of particle geodesics.

Contribution

It introduces the gravimagnetic dipole spacetime as a new model and analyzes its lensing effects through numerical geodesic simulations.

Findings

Gravitational lensing effects are observed for extended sources.

The system can be stabilized with zero string tension by adjusting black hole separation.

Lensing effects are analyzed on the equatorial plane and vertical axis.

Abstract

The gravimagnetic dipole is an asymptotically flat, stationary, axisymmetric vacuum solution to Einstein's General Relativity describing two non-extreme black holes with equal masses and opposite NUT charges connected by a Misner string. The string tension's can be set to zero by choosing the black hole separation accordingly, yielding a stable system of oppositely rotating black holes at a fixed distance. Numerical simulations of massless particle geodesics reveal gravitational lensing effects for extended sources at infinity on the equatorial plane or on the vertical axis.