On Geodesic motion of particles with zero energy in Kerr and rotating dirty black holes

TL;DR

This paper investigates the properties of zero-energy particle geodesics in Kerr and rotating dirty black holes, revealing the absence of closed orbits and implications for particle collisions, with insights into relativistic corrections.

Contribution

It provides a detailed analysis of zero-energy geodesics in rotating black holes, highlighting the absence of closed orbits and potential effects on high-energy collisions.

Findings

No closed orbits for zero-energy particles in generic axially symmetric black holes.

Relativistic corrections may vanish for negative energies.

Zero-energy particles can lead to unbounded collision energies.

Abstract

In this work, we explore the properties of timelike geodesic for particles with zero energy. We found some similarities between geodesic motion in Schwarzschild black hole and timelike geodesics for particles with zero energy. We show, that general relativistic corrections might disappear for negative energies. The existence of circular orbits for zero-energy particles might lead to an unbound center of mass energy of two colliding particles. However, in this work, we explicitly show that closed orbits are absent for zero energy particles in generic axially symmetric black holes. We also investigate timelike motion in generic axially symmetric black holes.