{ "id": "1908.02044", "version": "v1", "published": "2019-08-06T10:00:15.000Z", "updated": "2019-08-06T10:00:15.000Z", "title": "Gravitation in flat spacetime from entanglement", "authors": [ "Victor Godet", "Charles Marteau" ], "categories": [ "hep-th", "gr-qc" ], "abstract": "We explore holographic entanglement entropy for Minkowski spacetime in three and four dimensions. Under some general assumptions on the putative holographic dual, the entanglement entropy associated to a special class of subregions can be computed using an analog of the Ryu-Takayanagi formula. We refine the existing prescription in three dimensions to include perturbations and propose a generalization to four dimensions. We show that the first law of entanglement is equivalent to the gravitational equations of motion in the bulk, linearized around Minkowski spacetime.", "revisions": [ { "version": "v1", "updated": "2019-08-06T10:00:15.000Z" } ], "analyses": { "keywords": [ "flat spacetime", "minkowski spacetime", "holographic entanglement entropy", "dimensions", "special class" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }