{ "id": "1403.8062", "version": "v2", "published": "2014-03-31T15:50:21.000Z", "updated": "2014-05-22T18:25:56.000Z", "title": "Observables for General Relativity related to geometry", "authors": [ "Paweł Duch", "Wojciech Kamiński", "Jerzy Lewandowski", "Jedrzej Świeżewski" ], "comment": "33 pages, 1 figure", "journal": "JHEP05(2014)077", "doi": "10.1007/JHEP05(2014)077", "categories": [ "gr-qc" ], "abstract": "We present a new scheme of defining invariant observables for general relativistic systems. The scheme is based on the introduction of an observer which endowes the construction with a straightforward physical interpretation. The observables are invariant with respect to spatial diffeomorphisms which preserve the observer. The limited residual spatial gauge freedom is studied and fully understood. A full canonical analysis of the observables is presented: we analyze their variations, Poisson algebra and discuss their dynamics. Lastly, the observables are used to solve the vector constraint, which triggers a possible considerable reduction of the degrees of freedom of general relativistic theories.", "revisions": [ { "version": "v2", "updated": "2014-05-22T18:25:56.000Z" } ], "analyses": { "keywords": [ "general relativity", "observables", "limited residual spatial gauge freedom", "general relativistic theories", "general relativistic systems" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "year": 2014, "month": "May", "volume": 2014, "pages": 77 }, "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1287917, "adsabs": "2014JHEP...05..077D" } } }