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Cylindrical gravitational wave in Melvin universe

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Abstract

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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Authors and Affiliations

  1. A. M. Gorki State University, Perm

    V. F. Panov

Authors
  1. V. F. Panov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 24–28, December, 1979.

The author expresses his gratitude to the participants of the seminar of Professor D. D. Ivanenko for discussing the results of the paper.

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Panov, V.F. Cylindrical gravitational wave in Melvin universe. Soviet Physics Journal 22, 1269–1273 (1979). https://doi.org/10.1007/BF01220811

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  • DOI: https://doi.org/10.1007/BF01220811

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