General polarization modes for the Rosen gravitational wave

Details General polarization modes for the Rosen gravitational wave General polarization modes for the Rosen gravitational wave

2010-04-15

arxiv.org/abs/1004.2734v2

Classical and Quantum Gravity 27 (2010) 165022

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

V1: 12 pages, no figures. V2: still 12 pages, reformatted. Minor technical edits, discussion of Riemann tensor added, two refe

Scientific paper

10.1088/0264-9381/27/16/165022

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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