摘要
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 the way they deal with circular, elliptic and more general polarization states. In this paper 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.
- 出版日期2010-8-21