Motion of a Test Particle in the Reissner-Nordstrom Spacetime

TL;DR

This paper investigates the motion of neutral and charged test particles around Reissner-Nordstrom black holes, focusing on simple circular and radial trajectories to provide accessible insights into the spacetime effects caused by black hole charge.

Contribution

It offers an accessible analysis of test particle motion in Reissner-Nordstrom spacetime using simplified mathematical methods, suitable for beginners in the field.

Findings

Charge affects spacetime curvature, influencing particle trajectories.

Neutral particles follow geodesics affected by black hole charge.

Charged particles exhibit additional electromagnetic interactions.

Abstract

This paper focuses on the motion of a test particle moving around the Reissner-Nordstrom black hole. It deals with circular motion and radial motion of the neutral massive test particles, and shortly handles circular motion of the charged massive test particles. Both neutral and charged particles are affected by black hole's charge, but it is due to the fact that charge of the black hole bends the spacetime more strongly. This procedure has nothing to do with electromagnetic interactions, and these are only considered for charged test particles. However, it only treats mathematically easy, approximated situations and general motions and complex motions will not be discussed. This paper has tried to get some physical information only with the easiest mathematical tools and without difficult concepts that general relativity contains. Contents of this paper would be suitable for those who want to know something about the Reissner-Nordstrom black hole, but does not have much knowledge in this field. They can begin their intellectual journey with this paper.