{ "id": "1304.3181", "version": "v3", "published": "2013-04-11T02:52:41.000Z", "updated": "2013-08-24T05:47:49.000Z", "title": "Noether current from surface term, Virasoro algebra and black hole entropy in bigravity", "authors": [ "Taishi Katsuragawa", "Shin'ichi Nojiri" ], "comment": "7 pages, version to appear in Physical Review D", "journal": "Phys. Rev. D 87 (2013) 104032", "doi": "10.1103/PhysRevD.87.104032", "categories": [ "hep-th", "gr-qc" ], "abstract": "We consider the static, spherically symmetric black hole solutions in bigravity theory for minimal model with a condition $f_{\\mu \\nu} = C^{2} g_{\\mu \\nu}$ and evaluate the entropy for black holes. In this condition, we show that there exists the Schwarzschild solution for $C^{2} = 1$, which is unique consistent solution. We examine how the massive spin-2 field contributes and affects to the Bekenstein-Hawking entropy corresponding to Einstein gravity. In order to obtain the black hole entropy, we use a recently proposed approach which use Virasoro algebra and central charge corresponding to surface term in the gravitational action.", "revisions": [ { "version": "v3", "updated": "2013-08-24T05:47:49.000Z" } ], "analyses": { "subjects": [ "04.60.-m", "04.62.+v" ], "keywords": [ "black hole entropy", "virasoro algebra", "surface term", "noether current", "spherically symmetric black hole solutions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review D", "year": 2013, "month": "May", "volume": 87, "number": 10, "pages": 104032 }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1227929, "adsabs": "2013PhRvD..87j4032K" } } }