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arXiv · 1910.11115

About toroidal soliton-particle of extremal space-time film

Alexander A. Chernitskii
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Abstract

Nonlinear field model of extremal space-time film is considered. Its space-localized solution in toroidal coordinates with periodic dependence in time is investigated. A field configuration having a form of the twisted lightlike soliton moving along the ring is considered. An iterative algorithm for obtaining the solution in the form of formal power series in one toroidal variable is proposed. It is discovered that the time dependence in the toroidal solution has a deeply embedded character. Thus the full energy and angular momentum of the solution converge at space infinity.

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Alexander A. Chernitskii. 2019-10-22. About toroidal soliton-particle of extremal space-time film. https://doi.org/10.1088/1742-6596%2F1435%2F1%2F012054

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