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arXiv · 1004.2734

General polarization modes for the Rosen gravitational wave

Bethan Cropp·Matt Visser
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Abstract

Strong-field gravitational plane waves are often represented in either the Rosen or Brinkmann forms. While these two metric ansatze are related by a coordinate transformation, so that they should describe essentially the same physics, they rather puzzlingly seem to treat polarization states quite differently. Both ansatze deal equally well with + and X linear polarizations, but there is a qualitative difference in they way they deal with circular, elliptic, and more general polarization states. In this article we will develop a general formalism for dealing with arbitrary polarization states in the Rosen form of the gravitational wave metric, representing an arbitrary polarization by a trajectory in a suitably defined two dimensional hyperbolic plane.

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Bethan Cropp, Matt Visser. 2010-04-15. General polarization modes for the Rosen gravitational wave. https://doi.org/10.1088/0264-9381/27/16/165022

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