### Abstract

We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the particle trajectory is obtained with the noncovariant description of spin. Concrete calculations are performed up to second order in spin included. A simple derivation is presented for the gravitational spin-orbit and spin-spin interactions of a relativistic particle. We discuss the gravimagnetic moment (GM), a specific spin effect in general relativity. It is demonstrated that for the Kerr black hole the gravimagnetic ratio, i.e., the coefficient at the GM, equals to unity (as well as for the charged Kerr hole the gyromagnetic ratio equals to two). The equations of motion obtained for relativistic spinning particle in external gravitational field differ essentially from the Papapetrou equations.

Original language | English |
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Pages (from-to) | 145-173 |

Number of pages | 29 |

Journal | Surveys in High Energy Physics |

Volume | 14 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 1999 |

Event | 4th PNPI Winter School on Theoretical Physics - Repino, Russia Duration: 22 Feb 1998 → 28 Feb 1998 |

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### Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Surveys in High Energy Physics*,

*14*(1), 145-173. https://doi.org/10.1080/01422419908228843

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*Surveys in High Energy Physics*, vol. 14, no. 1, pp. 145-173. https://doi.org/10.1080/01422419908228843

**Equations of motion of spinning relativistic particle in external fields.** / Pomeransky, A. A.; Khriplovich, I. B.

Research output

TY - JOUR

T1 - Equations of motion of spinning relativistic particle in external fields

AU - Pomeransky, A. A.

AU - Khriplovich, I. B.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the particle trajectory is obtained with the noncovariant description of spin. Concrete calculations are performed up to second order in spin included. A simple derivation is presented for the gravitational spin-orbit and spin-spin interactions of a relativistic particle. We discuss the gravimagnetic moment (GM), a specific spin effect in general relativity. It is demonstrated that for the Kerr black hole the gravimagnetic ratio, i.e., the coefficient at the GM, equals to unity (as well as for the charged Kerr hole the gyromagnetic ratio equals to two). The equations of motion obtained for relativistic spinning particle in external gravitational field differ essentially from the Papapetrou equations.

AB - We consider the motion of a spinning relativistic particle in external electromagnetic and gravitational fields, to first order in the external field, but to an arbitrary order in spin. The correct account for the spin influence on the particle trajectory is obtained with the noncovariant description of spin. Concrete calculations are performed up to second order in spin included. A simple derivation is presented for the gravitational spin-orbit and spin-spin interactions of a relativistic particle. We discuss the gravimagnetic moment (GM), a specific spin effect in general relativity. It is demonstrated that for the Kerr black hole the gravimagnetic ratio, i.e., the coefficient at the GM, equals to unity (as well as for the charged Kerr hole the gyromagnetic ratio equals to two). The equations of motion obtained for relativistic spinning particle in external gravitational field differ essentially from the Papapetrou equations.

UR - http://www.scopus.com/inward/record.url?scp=0033321644&partnerID=8YFLogxK

U2 - 10.1080/01422419908228843

DO - 10.1080/01422419908228843

M3 - Conference article

AN - SCOPUS:0033321644

VL - 14

SP - 145

EP - 173

JO - Surveys in High Energy Physics

JF - Surveys in High Energy Physics

SN - 0142-2413

IS - 1

ER -