Discussion on some characteristics of the Charged Brane-world Black holes

TL;DR

This paper explores the physical properties, particle motion, thermodynamics, and superradiance phenomena of charged brane-world black holes, providing a comprehensive analysis of their characteristics and behaviors.

Contribution

It offers new insights into the geodesic structure, particle dynamics, thermodynamics, and superradiance absence of charged brane-world black holes.

Findings

Analysis of time-like and null geodesics

Hamilton-Jacobi formalism applied to test particles

No superradiance observed for massless scalar fields

Abstract

Several physical natures of charged brane-world black holes have been investigated. At first, time-like and null geodesics of the charged brane-world black holes are presented. We also analyze all the possible motions by plotting the effective potentials for various parameters for circular and radial geodesics. Secondly, we investigate the motion of test particles in the gravitational field of charged brane-world black holes using Hamilton-Jacobi (H-J) formalism. We have considered charged and uncharged test particles and examine its behavior both in static and non-static cases. Thirdly, thermodynamics of the charged brane-world black holes are studied. Finally, it has been also shown that there is no phenomenon of superradiance for an incident massless scalar field for this black hole.