Cylindrical gravitational wave in Melvin universe

Physics

Scientific paper

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Scientific paper

In the paper, a solution of the problem of the propagation of a cylindrical gravitational wave in the general theory of relativity in Melvin's magnetic universe is obtained by application of the Harrison method to the Einstein-Rosen wave solution. The solution found here illustrates the nonlinear process of transforming a cylindrical gravitational wave in a transverse static electromagnetic field into an electromagnetic wave.

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