Pure-radiation gravitational fields with a simple twist and a Killing vector
arXiv:gr-qc/0103095 · doi:10.1103/PhysRevD.61.064011
Abstract
Pure-radiation solutions are found, exploiting the analogy with the Euler- Darboux equation for aligned colliding plane waves and the Euler-Tricomi equation in hydrodynamics of two-dimensional flow. They do not depend on one of the spacelike coordinates and comprise the Hauser solution as a special subcase.
revtex, 9 pages