# The equatorial motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime

## TL;DR

This paper analyzes the equatorial motion of charged test particles in Kerr-Newman-Taub-NUT spacetime, deriving conditions for various orbit types and providing exact solutions, highlighting the influence of the NUT parameter.

## Contribution

It offers a detailed analysis of charged particle orbits in Kerr-Newman-Taub-NUT spacetime, including exact solutions and the effects of the NUT parameter, which is a novel contribution.

## Key findings

- Conditions for bound and circular orbits are established.
- Exact analytical solutions for equatorial motion are derived.
- The influence of the NUT parameter on orbits is characterized.

## Abstract

In this work, we perform a detailed analysis of the equatorial motion of the charged test particles in Kerr-Newman-Taub-NUT spacetime. By working out the orbit equation in the radial direction, we examine possible orbit types. We investigate the conditions for existence of bound orbits in causality-preserving region as well as the conditions for existence of circular orbits for charged and uncharged particles. We also study the effect of NUT parameter on Newtonian orbits. Finally, we give exact analytical solutions of equations of equatorial motion for a charged test particle.