Exact solution of the boundary value problem for a collisionless gas in the field of a nonlinear plane gravitational wave

Computer Science – Sound

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Cauchy Problem, Collisionless Plasmas, Gravitational Waves, Relativity, Sound Waves, Distribution Functions, Kinetic Equations, Particle Collisions, Plane Waves

Scientific paper

An exact solution is obtained for the Cauchy problem for the general-relativistic kinetic equation on the background of the metric of a nonlinear plane gravitational field. Arbitrary reflection of gas particles from a boundary of arbitrary form is assumed. It is shown that the gas-boundary interaction necessarily leads to the generation of acoustic waves in the gravitational wave field.

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