The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. The self-consistent equations of motion are built with the noncovariant description of spin and with the usual, ’naive’ definition of the coordinate of a relativistic particle. A simple derivation of the gravitational interaction of first order in spin is presented for a relativistic particle. The approach developed allows one to consider effects of higher order in spin. Concrete calculations are performed for the second order. The gravimagnetic moment is discussed, a special spin effect in general relativity. We also consider the contributions of the spin interactions of first and second order to the gravitational radiation of compact binary stars.

PACS: 03.65.Pm, 12.20.−m, 04.25.Nx, 97.80.−d (all) DOI: 10.1070/PU2000v043n10ABEH000674 URL: https://ufn.ru/en/articles/2000/10/c/ 000166243000003 Citation: Pomeranskii A A, Sen’kov R A, Khriplovich I B "Spinning relativistic particles in external fields" Phys. Usp. 43 1055–1066 (2000) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Оригинал: Померанский А А, Сеньков Р А, Хриплович И Б «Релятивистские частицы с внутренним моментом во внешних полях» УФН 170 1129–1141 (2000); DOI: 10.3367/UFNr.0170.200010c.1129