Deviation of geodesics, particle trajectories and the propagation of radiation in gravitational waves in Shapovalov type III wave spacetimes

Эндаумент фонд ТГУ!
Впиши своё имя в историю университета
- Сделать пожертвование -

Add to "Quick Collection"

Description	Size	Format
Deviation of geodesics, particle trajectories and the propagation of radiation in gravitational waves in Shapovalov type III wave spacetimes	333 KB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.3390/sym15071455

Title: Deviation of geodesics, particle trajectories and the propagation of radiation in gravitational waves in Shapovalov type III wave spacetimes
Creator: Osetrin, Konstantin E.
|
Osetrin, Evgeny K.
|
Osetrina, Elena I.
Date: 2023
DOI: 10.3390/sym15071455
Description: 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.

Created: 29-04-2025

72 Visitors

42 Hits

33 Downloads

Механико-математический факультет Deviation of geodesics, particle trajectories and the propagation of radiation in gravitational waves in Shapovalov type III wave spacetimes