Gravitational Waves: Just Plane Symmetry

Details Gravitational Waves: Just Plane Symmetry Gravitational Waves: Just Plane Symmetry

1999-07-27

arxiv.org/abs/gr-qc/9907089v1

Gen.Rel.Grav. 38 (2006) 653-662

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, TeX, uses IOP style files

Scientific paper

10.1007/s10714-006-0255-8

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.

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