Gyroscopic precession in Reissner–Nordström spacetime

Abstract

In this work, we investigate a static spherically symmetric Reissner–Nordström event horizon and a naked singularity by analyzing the behavior of a gyroscope transported along a timelike curve. We find that the precession frequency remains finite for both the black hole and the naked singularity as long as the trajectory is timelike. Our objective is to quantify the differences in the gyroscope’s precession behavior when approaching an event horizon versus a naked singularity. Additionally, we explore the potential for distinguishing between an event horizon and a naked singularity by examining the reversal of the precession frequency.