{ "id": "0904.3079", "version": "v3", "published": "2009-04-20T18:02:01.000Z", "updated": "2009-06-19T18:38:21.000Z", "title": "Diffeomorphism covariant star products and noncommutative gravity", "authors": [ "D. V. Vassilevich" ], "comment": "8 pages, v2, v3: references and comments added", "journal": "Class.Quant.Grav.26:145010,2009", "doi": "10.1088/0264-9381/26/14/145010", "categories": [ "hep-th", "gr-qc", "math-ph", "math.MP" ], "abstract": "The use of a diffeomorphism covariant star product enables us to construct diffeomorphism invariant gravities on noncommutative symplectic manifolds without twisting the symmetries. As an example, we construct noncommutative deformations of all two-dimensional dilaton gravity models thus overcoming some difficulties of earlier approaches. One of such models appears to be integrable. We find all classical solutions of this model and discuss their properties.", "revisions": [ { "version": "v3", "updated": "2009-06-19T18:38:21.000Z" } ], "analyses": { "subjects": [ "02.40.Gh", "04.60.Kz" ], "keywords": [ "noncommutative gravity", "diffeomorphism covariant star product enables", "construct diffeomorphism invariant gravities", "two-dimensional dilaton gravity models" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Classical and Quantum Gravity", "year": 2009, "month": "Jul", "volume": 26, "number": 14, "pages": 145010 }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "inspire": 818352, "adsabs": "2009CQGra..26n5010V" } } }