Plane waves in the bimetric gravitation theory

Physics

Scientific paper

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Gravitation Theory, Plane Waves, Space-Time Functions, Field Theory (Physics), Flux Density, Longitudinal Waves, Transverse Waves

Scientific paper

Field equations for plane waves are set up and some solutions are obtained. Transverse, longitudinal, and mixed waves are possible. In the purely transverse case the energy density is positive definite. In the purely longitudinal case it may be negative. However, in one example investigated it is positive if the Riemannian metric tensor satisfies a condition corresponding to space-time having satisfactory physical properties.

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