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Geometry of massive particle surfacesстатья
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Авторы: Kobialko Kirill, Bogush Igor, Gal’tsov Dmitri
- Журнал: Physical Review D
- Том: 106
- Номер: 8
- Год издания: 2022
- Издательство: American Physical Society
- Местоположение издательства: United States
- Номер статьи: 084032
- DOI: 10.1103/physrevd.106.084032
- Аннотация: We propose a generalization of the photon surfaces of Claudel, Virbhadra and Ellis to the case of massive charged particles, considering a timelike hypersurface such that any worldline of a particle with mass m, electric charge q and a fixed total energy E, initially touching it, will forever remain in this hypersurface. Such surfaces can be defined not only with particle motion equations, but instead using the partially umbilic nature of the surface geometry. Such an approach should be especially useful in the case of nonintegrable equations of motion. It can be applied to the theory of nonthin accretion disks, and can also serve as a new tool for some general problems such as uniqueness theorems, Penrose inequalities, and hidden symmetries. A condition for the stability of worldlines is derived, which reduces to differentiation along the flow of surfaces of a certain energy. A number of examples of electrovacuum and dilaton solutions are considered; conditions are found for marginally stable surfaces of massive particles, regions of stable or unstable surfaces of massive particles and photons, as well as solutions that satisfy the no-force condition.
- Добавил в систему: Кобялко Кирилл Владимирович