Deviation of geodesics, particle trajectories and the propagation of radiation in gravitational waves in Shapovalov type III wave spacetimes
A class of exact (non-perturbative) models of strong gravitational waves based on Shapovalov type III spacetimes and Einstein's vacuum equations is obtained. Exact solutions are found for the trajectories of particles and radiation in a gravitational wave in privileged coordinate systems. Exact...
| Опубликовано в: : | Symmetry Vol. 15, № 7. P. 1455 (1-24) |
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| Главный автор: | |
| Другие авторы: | , |
| Формат: | Статья в журнале |
| Язык: | English |
| Предметы: | |
| Online-ссылка: | https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001156736 Перейти в каталог НБ ТГУ |
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| 100 | 1 | |a Osetrin, Konstantin E. |9 879144 | |
| 245 | 1 | 0 | |a Deviation of geodesics, particle trajectories and the propagation of radiation in gravitational waves in Shapovalov type III wave spacetimes |c K. E. Osetrin, E. K. Osetrin, E. I. Osetrina |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 504 | |a Библиогр.: 35 назв. | ||
| 520 | 3 | |a A class of exact (non-perturbative) models of strong gravitational waves based on Shapovalov type III spacetimes and Einstein's vacuum equations is obtained. Exact solutions are found for the trajectories of particles and radiation in a gravitational wave in privileged coordinate systems. Exact solutions are obtained for the equations of geodesic deviation and tidal acceleration of particles in a gravitational wave in privileged coordinate systems. An explicit analytical law of transition from a privileged coordinate system to a synchronous reference system associated with a freely falling observer with an explicit selection of time and spatial coordinates is obtained. An explicit form of the metric of a gravitational wave in a synchronous frame of reference is obtained. For a synchronous frame of reference, the trajectories of particles and radiation, the deviation of geodesics, and tidal accelerations in a gravitational wave are obtained. The presented methods and approaches are applicable both to Einstein's general theory of relativity and to modified theories of gravity. | |
| 653 | |a гравитационные волны | ||
| 653 | |a Шаповалова пространство-время | ||
| 653 | |a Гамильтона-Якоби уравнение | ||
| 653 | |a приливное ускорение | ||
| 655 | 4 | |a статьи в журналах | |
| 700 | 1 | |a Osetrin, Evgeny K. |9 989000 | |
| 700 | 1 | |a Osetrina, Elena I. |9 989001 | |
| 773 | 0 | |t Symmetry |d 2023 |g Vol. 15, № 7. P. 1455 (1-24) |x 2073-8994 | |
| 852 | 4 | |a RU-ToGU | |
| 856 | 4 | |u https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001156736 | |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=1156736 | ||
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