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Equations of the Dynamics of Spinning Particles in General Relativity

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We analyze the role of the Mathisson–Papapetrou equations in establishing the regularities of spingravitational interaction under the conditions of ultrarelativistic motions of spinning particles in the fields of black holes and neutron stars. In recent years, these equations are extensively used in the investigation of spin-gravitational effects. At the same time, it is necessary to perform the detailed analysis of the specific features of ultrarelativistic motions of spinning particles. This is done in the present paper. We apply the representation of the Mathisson–Papapetrou equations in terms of comoving tetrads, which enables us to reveal physical foundations of the specific features of spingravitational effects for spinning particles. We also make conclusions that follow from the obtained new solutions of the Mathisson–Papapetrou equations.

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Authors and Affiliations

  1. Pidstryhach Institute for Applied Problems in Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv, Ukraine

    R. М. Plyatsko & М. Т. Fenyk

Authors
  1. R. М. Plyatsko
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  2. М. Т. Fenyk
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Correspondence to R. М. Plyatsko.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 3, pp. 89–96, August–October, 2017.

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Plyatsko, R.М., Fenyk, М.Т. Equations of the Dynamics of Spinning Particles in General Relativity. J Math Sci 246, 225–233 (2020). https://doi.org/10.1007/s10958-020-04732-1

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  • DOI: https://doi.org/10.1007/s10958-020-04732-1

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