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...
| Published in: | Symmetry Vol. 15, № 7. P. 1455 (1-24) |
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| Main Author: | |
| Other Authors: | , |
| Format: | Article |
| Language: | English |
| Subjects: | |
| Online Access: | https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001156736 Перейти в каталог НБ ТГУ |
| Summary: | 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. |
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| Bibliography: | Библиогр.: 35 назв. |
| ISSN: | 2073-8994 |