Motion of charged particles on the Reissner-Nordstr\"om (Anti)-de Sitter black holes

TL;DR

This paper analyzes the trajectories of charged particles around Reissner-Nordström (Anti)-de Sitter black holes, providing exact solutions and detailed orbit descriptions based on particle and black hole parameters.

Contribution

It presents the first exact solutions for charged particle trajectories in these black hole backgrounds using elliptic Jacobi functions.

Findings

Exact elliptic Jacobi function solutions for particle trajectories

Detailed orbit classifications based on charge, mass, and energy

Insights into particle dynamics in non-trivial asymptotic black hole spacetimes

Abstract

In this work we address the study of movement of charged particles in the background of charged black holes with non-trivial asymptotic behavior. We compute the exact trajectories for massive-charged particles in term of elliptic Jacobi function. Finally we obtain a detailed description of orbits for Reissner-Nordstr\"om (Anti)-de Sitter black holes in terms of charge, mass and energy of the particles.