Spinning particles in Schwarzschild-de Sitter space-time

TL;DR

This paper extends the analysis of spinning test particles from Schwarzschild to Schwarzschild-de Sitter space-time, showing how the cosmological constant influences particle motion near black holes.

Contribution

It generalizes previous results to include the effects of the cosmological constant on spinning particle trajectories in black hole space-times.

Findings

Cosmological constant affects particle motion at large distances.

Loci of turning points are derived for Schwarzschild-de Sitter space.

Motion is influenced when particle distance is of order 1/√Λ.

Abstract

After considering the reference case of the motion of spinning test bodies in the equatorial plane of the Schwarzschild space-time, we generalize the results to the case of the motion of a spinning particle in the equatorial plane of the Schwarzschild-de Sitter space-time. Specifically, we obtain the loci of turning points of the particle in this plane. We show that the cosmological constant affect the particle motion when the particle distance from the black hole is of the order of the inverse square root of the cosmological constant.