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arXiv · 1502.06331

Non-linear effects for cylindrical gravitational two-soliton

Shinya Tomizawa·Takashi Mishima
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Abstract

Using a cylindrical soliton solution to the four-dimensional vacuum Einstein equation, we study non-linear effects of gravitational waves such as Faraday rotation and time shift phenomenon. In the previous work, we analyzed the single-soliton solution constructed by the Pomeransky's improved inverse scattering method. In this work, we construct a new two-soliton solution with complex conjugate poles, by which we can avoid light-cone singularities unavoidable in a single soliton case. In particular, we compute amplitudes of such non-linear gravitational waves and time-dependence of the polarizations. Furthermore, we consider the time shift phenomenon for soliton waves, which means that a wave packet can propagate at slower velocity than light.

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Shinya Tomizawa, Takashi Mishima. 2015-02-23. Non-linear effects for cylindrical gravitational two-soliton. https://doi.org/10.1103/physrevd.91.124058

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