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arXiv · 2206.15234

Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations

Konstantin Osetrin·Evgeny Osetrin·Elena Osetrina
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Abstract

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.

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Konstantin Osetrin, Evgeny Osetrin, Elena Osetrina. 2022-06-30. Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations. https://doi.org/10.1140/epjc%2Fs10052-022-10852-6

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