Gödel-type metrics in Einstein-Aether theory II: nonflat background in arbitrary dimensions

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dc.citation.epage63-14en_US
dc.citation.issueNumber5en_US
dc.citation.spage63-1en_US
dc.citation.volumeNumber48en_US
dc.contributor.authorGürses M.en_US
dc.contributor.authorŞentürk, Ç.en_US
dc.date.accessioned2018-04-12T10:57:12Z
dc.date.available2018-04-12T10:57:12Z
dc.date.issued2016en_US
dc.departmentDepartment of Mathematicsen_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractIt was previously proved that the Gödel-type metrics with flat three-dimensional background metric solve exactly the field equations of the Einstein-Aether theory in four dimensions. We generalize this result by showing that the stationary Gödel-type metrics with nonflat background in D dimensions solve exactly the field equations of the Einstein-Aether theory. The reduced field equations are the (Formula presented.) -dimensional Euclidean Ricci-flat and the (Formula presented.) -dimensional source-free Maxwell equations, and the parameters of the theory are left free except (Formula presented.). We give a method to produce exact solutions of the Einstein-Aether theory from the Gödel-type metrics in D dimensions. By using this method, we present explicit exact solutions to the theory by considering the particular cases: ((Formula presented.))-dimensional Euclidean flat, conformally flat, and Tangherlini backgrounds. © 2016, Springer Science+Business Media New York.en_US
dc.description.provenanceMade available in DSpace on 2018-04-12T10:57:12Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 179475 bytes, checksum: ea0bedeb05ac9ccfb983c327e155f0c2 (MD5) Previous issue date: 2016en
dc.identifier.doi10.1007/s10714-016-2058-xen_US
dc.identifier.eissn1572-9532
dc.identifier.issn0001-7701
dc.identifier.urihttp://hdl.handle.net/11693/36911
dc.language.isoEnglishen_US
dc.publisherSpringeren_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s10714-016-2058-xen_US
dc.source.titleGeneral Relativity and Gravitationen_US
dc.subjectCharged fluiden_US
dc.subjectClosed timelike curvesen_US
dc.subjectEinstein-Aether theoryen_US
dc.subjectEinstein–Maxwell–Dust field equationsen_US
dc.subjectGödel-type metricsen_US
dc.titleGödel-type metrics in Einstein-Aether theory II: nonflat background in arbitrary dimensionsen_US
dc.typeArticleen_US

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