Geodesic motion in R- charged black hole space-times

TL;DR

This paper investigates the motion of particles around R-charged black holes in gauged supergravity, analyzing orbits, horizon structure, and perihelion shifts to understand particle dynamics in these complex spacetimes.

Contribution

It provides a detailed analysis of geodesic motion, horizon structure, and orbital characteristics in R-charged black hole backgrounds, including effects of multiple charges and comparisons between massive and massless particles.

Findings

Classification of possible particle orbits based on energy and angular momentum

Calculation of orbital periods and perihelion shifts for massive particles

Analysis of unstable circular orbits and cone of avoidance for massless particles

Abstract

We study the geodesic motion of massive and massless test particles in the background of a particular class of multiple charge black holes in gauged supergravity theories in D = 4. We have analysed the horizon structure along with the nature of the effective potentials for the case of four equal charges. In view of the corresponding effective potentials, we have discussed all the possible orbits in detail for different values of energy and angular momentum of the incoming test particles. The periods for one complete revolution of circular orbits and the advance of perihelion of the planetary orbit have also been investigated in greater detail for massive test particles. We have also discussed the time period of unstable circular motion and cone of avoidance of massless test particles in detail. All the corresponding results obtained for massive and massless test particles are then compared accordingly.