Gravitational Waves: Just Plane Symmetry
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
We present some remarkable properties of the symmetry group for gravitational plane waves. Our main observation is that metrics with plane wave symmetry satisfy every system of generally covariant vacuum field equations except the Einstein equations. The proof uses the homothety admitted by metrics with plane wave symmetry and the scaling behavior of generally covariant field equations. We also discuss a mini-superspace description of spacetimes with plane wave symmetry.
Cite
@article{arxiv.gr-qc/9907089,
title = {Gravitational Waves: Just Plane Symmetry},
author = {C. G. Torre},
journal= {arXiv preprint arXiv:gr-qc/9907089},
year = {2009}
}
Comments
10 pages, TeX, uses IOP style files