https://doi.org/10.1140/epjc/s10052-022-10852-6
Regular Article - Theoretical Physics
Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations
1
Center for Mathematical and Computer Physics, Tomsk State Pedagogical University, Kievskaya str. 60, 634061, Tomsk, Russia
2
National Research Tomsk State University, Lenina pr. 36, 634050, Tomsk, Russia
Received:
30
June
2022
Accepted:
26
September
2022
Published online:
9
October
2022
For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector of deviation, tidal accelerations in a gravitational wave are calculated. For the obtained solution in a privileged coordinate system, an explicit form of transformations into a synchronous reference system is found, which allows time synchronization at any points of space-time with separation of time and spatial coordinates. The synchronous reference system used is associated with a freely falling observer on the base geodesic. In a synchronous coordinate system, an explicit form of the gravitational wave metric, a 4-vector of geodesic deviation, and a 4-vector of tidal accelerations in a gravitational wave are obtained. The exact solution describes a variant of the primordial gravitational wave. The results of the work can be used to study the plasma radiation generated by tidal accelerations of a gravitational wave.
Evgeny Osetrin and Elena Osetrina contributed equally to this work.
© The Author(s) 2022
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