A gravitational analogue of Faraday rotation

Details A gravitational analogue of Faraday rotation A gravitational analogue of Faraday rotation

Nov 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985natur.318..271p&link_type=abstract

Nature (ISSN 0028-0836), vol. 318, Nov. 21, 1985, p. 271-273. Research supported by the U.S.-Israel Binational Science Foundatio

Physics

17

Faraday Effect, Gravitational Waves, Wave Propagation, Cylindrical Waves, Einstein Equations, Polarization (Waves), Propagation Modes, Wave Reflection

Scientific paper

In an effort to shed some light on the problem of nonlinear interaction of gravitational radiation, the behavior of cylindrical gravitational waves in vacuum was studied. When only one mode of cylindrical gravitational waves is present, the well known solution is the Einstein-Rosen waves, which do not display any nonlinear behavior. The general solution of two modes is unknown. To study it, the cylindrical Einstein equations are expressed in a characteristic form and an analytical approximation and a numerical solution for the general evolution of cylindrical waves are obtained. It is reported here that the propagation of these waves displays a reflection of ingoing to outgoing waves (and vice versa), combined with a rotation of the polarization vector between the + and x modes. The latter effect is a gravitational analogue of the electromagnetic Faraday rotation.

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