General Relativity and Gravitation

, Volume 21, Issue 6, pp 613–621 | Cite as

The gravitational faraday rotation for cylindrical gravitational solitons

  • Akira Tomimatsu
Research Articles


By using cylindrical soliton solutions, the nonlinear behavior of gravitational waves in vacuum is studied in terms of a rotation of the polarization vector between two independent modes. This effect was emphasized by Piran, Safier, and Stark as a gravitational analogue of the Faraday rotation. The polarization of the soliton wave is calculated, and it is found that the+mode which was dominant near the axis of symmetry is fully converted to the×mode at some interaction region and then the disturbance propagating along a light cone like a gravitational wave pulse contains both polarizations.


Soliton Differential Geometry Wave Pulse Gravitational Wave Interaction Region 
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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Akira Tomimatsu
    • 1
  1. 1.Department of PhysicsNagoya UniversityNagoyaJapan

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