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dc.contributor.authorGürses, M.en_US
dc.date.accessioned2016-02-08T09:58:19Z
dc.date.available2016-02-08T09:58:19Z
dc.date.issued2010en_US
dc.identifier.issn0001-7701
dc.identifier.urihttp://hdl.handle.net/11693/22302
dc.description.abstractWe show that the Gödel type metrics in three dimensions with arbitrary two dimensional background space satisfy the Einstein-perfect fluid field equations. We also show that there exists only one first order partial differential equation satisfied by the components of fluid's velocity vector field. We then show that the same metrics solve the field equations of the topologically massive gravity where the two dimensional background geometry is a space of constant negative Gaussian curvature. We discuss the possibility that the Gödel type metrics to solve the Ricci and Cotton flow equations. When the vector field uμ is a Killing vector field, we came to the conclusion that the stationary Gödel type metrics solve the field equations of the most possible gravitational field equations where the interaction lagrangian is an arbitrary function of the electromagnetic field and the curvature tensors. © 2009 Springer Science+Business Media, LLC.en_US
dc.language.isoEnglishen_US
dc.source.titleGeneral Relativity and Gravitationen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s10714-009-0914-7en_US
dc.subjectEinstein's equations in three dimensionsen_US
dc.subjectEinstein-perfect fluid solutionsen_US
dc.subjectGödel type metricsen_US
dc.subjectRicci and Cotton flowsen_US
dc.subjectTopologically massive gravityen_US
dc.titleGödel type metrics in three dimensionsen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematics
dc.citation.spage1413en_US
dc.citation.epage1426en_US
dc.citation.epage
dc.citation.volumeNumber42en_US
dc.citation.issueNumber6en_US
dc.identifier.doi10.1007/s10714-009-0914-7en_US
dc.publisherSpringer New York LLCen_US
dc.identifier.eissn1572-9532


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