{ "id": "gr-qc/9907089", "version": "v1", "published": "1999-07-27T17:42:21.000Z", "updated": "1999-07-27T17:42:21.000Z", "title": "Gravitational Waves: Just Plane Symmetry", "authors": [ "C. G. Torre" ], "comment": "10 pages, TeX, uses IOP style files", "journal": "Gen.Rel.Grav. 38 (2006) 653-662", "doi": "10.1007/s10714-006-0255-8", "categories": [ "gr-qc" ], "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.", "revisions": [ { "version": "v1", "updated": "1999-07-27T17:42:21.000Z" } ], "analyses": { "keywords": [ "gravitational waves", "plane symmetry", "plane wave symmetry satisfy", "covariant vacuum field equations", "covariant field equations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "inspire": 504579 } } }