The Pseudo-Newtonian Force and Potential about a Higher Dimensional Rotating Black Hole

TL;DR

This paper investigates the pseudo-Newtonian force and potential around higher dimensional rotating black holes, generalizing previous five-dimensional results and identifying conditions for force behavior changes.

Contribution

It extends the analysis of pseudo-Newtonian forces to higher dimensions, providing new conditions for force characteristics and unifying five-dimensional cases as special instances.

Findings

Conditions for attractive to repulsive force transition

Maximum force value conditions

Recovery of five-dimensional results as special cases

Abstract

In this paper, we study the behavior of the pseudo-Newtonian force and potential about a higher dimensional rotating black hole. We obtain conditions for the force character from an attractive to repulsive. We also find the conditions under which force attains a maximum value. The results of this paper generalizes the already found structure of force and potential about a five dimensional rotating black hole. It is interesting to note that we recover the five dimensional results under a special case.