# Scattering of uncharged particles in the field of two extremely charged black holes

## TL;DR

This paper studies how uncharged particles scatter off a binary system of extremely charged black holes, analyzing scattering angles and gyroscopic precession to understand gravitational interactions in this unique spacetime configuration.

## Contribution

It provides a detailed numerical analysis of particle scattering and gyroscopic precession in the Majumdar-Papapetrou black hole system, highlighting gauge-invariant scattering characteristics.

## Key findings

- Computed scattering angles as a function of particle energy.
- Analyzed gyroscopic precession during scattering.
- Identified gauge-invariant quantities for the scattering process.

## Abstract

We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane containing both black holes. We consider the two complementary situations of particles approaching the system along a direction parallel to the axis where the black holes are displaced and orthogonal to it. We numerically compute the scattering angle as a function of the particle's conserved energy parameter, which provides a gauge-invariant information of the scattering process. We also study the precession of a test gyroscope along such orbits and evaluate the accumulated precession angle after a full scattering, which is another gauge-invariant quantity.