{ "id": "gr-qc/0310019", "version": "v1", "published": "2003-10-03T08:37:13.000Z", "updated": "2003-10-03T08:37:13.000Z", "title": "Classification of Static Plane Symmetric Spacetimes according to their Matter Collineations", "authors": [ "M. Sharif" ], "comment": "15 pages, LaTex, no figures", "journal": "J.Math.Phys.45:1518-1531,2004", "doi": "10.1063/1.1650537", "categories": [ "gr-qc" ], "abstract": "In this paper we classify static plane symmetric spacetimes according to their matter collineations. These have been studied for both cases when the energy-momentum tensor is non-degenerate and also when it is degenerate. It turns out that the non-degenerate case yields either {\\it four}, {\\it five}, {\\it six}, {\\it seven} or {\\it ten} independent matter collineations in which {\\it four} are isometries and the rest are proper. There exists three interesting cases where the energy-momentum tensor is degenerate but the group of matter collineations is finite-dimensional. The matter collineations in these cases are either {\\it four}, {\\it six} or {\\it ten", "revisions": [ { "version": "v1", "updated": "2003-10-03T08:37:13.000Z" } ], "analyses": { "subjects": [ "04.20.Gz", "02.10.Ud" ], "keywords": [ "energy-momentum tensor", "classification", "classify static plane symmetric spacetimes", "independent matter collineations", "non-degenerate case yields" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2004, "month": "Apr", "volume": 45, "number": 4, "pages": 1518 }, "note": { "typesetting": "LaTeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 629741, "adsabs": "2004JMP....45.1518S" } } }