High-frequency interacting gravitational and magnetosonic waves

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Scientific paper

The interaction of high-frequency asymptotic waves in general relativistic magnetohydrodynamics will be investigated. It shall be proved that an order-one magnetosonic wave generates a gravitational wave of order three (theorem 1), and an order-two gravitational wave generates a magnetosonic wave of the same order (theorem 2). If the fluid satisfies the limit state equation 0264-9381/15/11/023/img1, then a magnetosonic and a gravitational wave of same phase and of the same order can coexist and interact, each one acting as a source for the other (theorem 3).

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