Equatorial Ba\~nados-Silk-West effect in Kerr-Newman-Taub-NUT spacetime revisited

TL;DR

This paper investigates the Ba extbackslash nados-Silk-West effect in Kerr-Newman-Taub-NUT spacetime, finding it generally not possible on the equatorial plane but potentially feasible under specific conditions for constant  geodesics.

Contribution

The study clarifies the conditions under which the BSW effect can occur in KNTN spacetime, correcting previous assumptions about its impossibility on the equatorial plane.

Findings

BSW effect not possible on equatorial plane for two particles.

BSW effect possible on constant  geodesics under certain conditions.

Numerical analysis supports the conditional feasibility of the effect.

Abstract

In this paper, we revisit the possibilities of Ba\~nados-Silk-West (BSW) effect in Kerr-Newman-Taub-NUT (KNTN) spacetime for two neutral particles moving over the equatorial plane and constant $\theta$ in Boyer-Lindquist coordinate. Contrary to a previous study on this topic, we found that BSW effect for two particles confined to move over the equatorial plane is not possible. Numerical calculations shows that BSW effect in constant $\theta$ geodesics is possible under certain circumstances.