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Strong spin-gravity coupling in the linear approximation for circular orbits in Schwarzschild’s field

R. Plyatsko and M. Fenyk

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Phys. Rev. D 112, 104079 – Published 26 November, 2025

DOI: https://doi.org/10.1103/vwqc-9vkh

Abstract

In the context of current research of the properties of gravitational interaction for bodies and particles moving at very high velocities, we consider possible motions of ultrarelativistic spinning particles relative to Schwarzschild’s mass. The focus is on nonequatorial circular orbits of such particles. The corresponding solutions of the Mathisson-Papapetrou in the linear spin approximation are investigated. Direct analytical calculations determined necessary and sufficient conditions under which such solutions are admissible. The spin-gravity force which from the point of view of the comoving observer ensures existence of the ultrarelativistic nonequatorial circular orbits in Schwarzschild’s field is analyzed. The corresponding illustrations are presented.

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Phys. Rev. D 112, 104079– Published 26 November, 2025
  • Received 30 July 2025
  • Accepted 11 November 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

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