Exact solutions of plane gravitational waves under the harmonic condition

Physics

Scientific paper

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Field Theory (Physics), Gravitational Waves, Harmonic Analysis, Plane Waves, Wave Propagation, Algebra, Gravitation Theory, Polarization (Waves), Tensor Analysis

Scientific paper

Exact solutions are obtained for plane gravitational waves under harmonic conditions. The solutions are free from singularities and contain Einstein's approximate solutions for weak fields. A physical interpretation of the solutions is given and their relationship with previous solutions is studied in detail. A more general type of solution incorporating dual polarizations (the Ricci tensor) is also obtained.

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