{ "id": "0908.4281", "version": "v1", "published": "2009-08-28T20:20:09.000Z", "updated": "2009-08-28T20:20:09.000Z", "title": "Averaging in cosmological models using scalars", "authors": [ "A. A. Coley" ], "comment": "33 pages", "journal": "Class.Quant.Grav.27:245017,2010", "doi": "10.1088/0264-9381/27/24/245017", "categories": [ "gr-qc", "astro-ph.CO" ], "abstract": "The averaging problem in cosmology is of considerable importance for the correct interpretation of cosmological data. A rigorous mathematical definition of averaging in a cosmological model is necessary. In general, a spacetime is completely characterized by its scalar curvature invariants, and this suggests a particular spacetime averaging scheme based entirely on scalars. We clearly identify the problems of averaging in a cosmological model. We then present a precise definition of a cosmological model, and based upon this definition, we propose an averaging scheme in terms of scalar curvature invariants. This scheme is illustrated in a simple static spherically symmetric perfect fluid cosmological spacetime, where the averaging scales are clearly identified.", "revisions": [ { "version": "v1", "updated": "2009-08-28T20:20:09.000Z" } ], "analyses": { "keywords": [ "cosmological model", "perfect fluid cosmological spacetime", "symmetric perfect fluid cosmological", "scalar curvature invariants", "static spherically symmetric perfect fluid" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Classical and Quantum Gravity", "year": 2010, "month": "Dec", "volume": 27, "number": 24, "pages": 245017 }, "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "inspire": 829778, "adsabs": "2010CQGra..27x5017C" } } }