{ "id": "hep-th/0505224", "version": "v2", "published": "2005-05-25T07:51:43.000Z", "updated": "2005-07-11T13:25:33.000Z", "title": "Casimir densities for a spherical brane in Rindler-like spacetimes", "authors": [ "A. A. Saharian", "M. R. Setare" ], "comment": "15 pages, Application to the AdS black hole braneworld and references added, accepted for publication in Nuclear Physics B", "journal": "Nucl.Phys.B724:406-422,2005", "doi": "10.1016/j.nuclphysb.2005.07.011", "categories": [ "hep-th", "quant-ph" ], "abstract": "Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are evaluated for a scalar field obeying mixed boundary condition on a spherical brane in (D+1)-dimensional Rindler-like spacetime $Ri\\times S^{D-1}$, where $Ri$ is a two-dimensional Rindler spacetime. This spacetime approximates the near horizon geometry of (D+1) -dimensional black hole in the large mass limit. The vacuum expectation values are presented as the sum of boundary-free and brane-induced parts. Further we extract from the Wightman function for the boundary-free geometry the corresponding function in the bulk $R^{2}\\times S^{D-1}$. For the latter geometry the vacuum expectation values of the field square and the energy-momentum tensor do not depend on the spacetime point. For the renormalization of these quantities we use zeta regularization technique. Various limiting cases of the brane-induced vacuum expectation values are investigated.", "revisions": [ { "version": "v2", "updated": "2005-07-11T13:25:33.000Z" } ], "analyses": { "subjects": [ "04.62.+v", "03.70.+k", "11.10.Kk" ], "keywords": [ "vacuum expectation values", "spherical brane", "rindler-like spacetime", "casimir densities", "obeying mixed boundary condition" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nucl. Phys. B" }, "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 683360 } } }