Highly relativistic spin-gravity-$\Lambda$ coupling

TL;DR

This paper investigates how highly relativistic spin interacts with gravity in a Schwarzschild-de Sitter spacetime, revealing significant deviations from geodesic motion for fast spinning particles.

Contribution

It provides a detailed analysis of relativistic spin-gravity coupling effects and describes new behaviors of spinning particles in highly relativistic circular orbits.

Findings

Relativistic spin effects significantly alter particle trajectories.

Gravitoelectric and gravitomagnetic fields depend on observer velocity.

Highly relativistic orbits differ from geodesic paths.

Abstract

The effects of highly relativistic spin-gravity coupling in the Schwarzschild-de Sitter background which follow from the Mathisson-Papapetrou equations are investigated. The dependence of gravitoelectric and gravitomagnetic components of gravitational field on the velocity of an observer which is moving in Schwarzschild-de Sitter's background is estimated. The action of gravitomagnetic components on a fast moving spinning particle is considered. Different cases of the highly relativistic circular orbits of a spinning particle which essentially differ from the corresponding geodesic orbits are described.