{ "id": "1702.07950", "version": "v1", "published": "2017-02-25T21:21:11.000Z", "updated": "2017-02-25T21:21:11.000Z", "title": "A Note on the Dimensional Reduction of Axisymmetric Spacetimes", "authors": [ "Nishanth Gudapati" ], "categories": [ "math.AP" ], "abstract": "We investigate the dimensional reduction of 3+1 vacuum axisymmetric Einstein's equations to 2+1 dimensional Einstein-wave map system and observe that the resulting system is 1) not asymptotically flat, 2) its geometric-mass diverges and 3) the energy of wave map also diverges. Subsequently, we discuss the consequences of these issues.", "revisions": [ { "version": "v1", "updated": "2017-02-25T21:21:11.000Z" } ], "analyses": { "keywords": [ "dimensional reduction", "axisymmetric spacetimes", "dimensional einstein-wave map system", "vacuum axisymmetric einsteins equations", "geometric-mass diverges" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }