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dc.contributor.authorForget, Adam
dc.date.accessioned2018-02-28T13:54:18Z
dc.date.available2018-02-28T13:54:18Z
dc.identifier.urihttp://hdl.handle.net/10222/73773
dc.description.abstractn this thesis we show how to locate the event horizons for five dimensional (5D) stationary black holes. We present the Cartan algorithm in an arbitrary number of dimensions and apply it in 4D and 5D. To facilitate the algorithm in 5D, we classifiy the Weyl tensor using its boost weight decomposition. We also consider the Lorentz frame transformations in 5D. We present the algorithm explicitly for the 4D Kerr metric. For 5D, computations by hand are not feasible. Thus we show how to perform the algorithm on Maple 2016 and illustrate it with four 5D examples: the singly rotating Myers-Perry metric, the Kerr-NUTT-(Anti)-de Sitter metric, the Reissner-Nordstrom-(Anti)-de Sitter metric, and the singly rotating static black ring.en_US
dc.language.isoenen_US
dc.subjectDifferential Geometryen_US
dc.subjectGeneral Relativityen_US
dc.subjectBlack Holesen_US
dc.subjectEvent Horizonen_US
dc.subjectStationary Horizonen_US
dc.subjectScalar Polynomial Invariantsen_US
dc.subjectSPIsen_US
dc.subjectCartan Invariantsen_US
dc.subjectCartan Algorithmen_US
dc.subjectCartan-Karlhede Algorithmen_US
dc.titleEvent Horizon Detection for Five Dimensional Stationary Black Holesen_US
dc.date.defence2017-12-22
dc.contributor.departmentDepartment of Mathematics & Statistics - Math Divisionen_US
dc.contributor.degreeMaster of Scienceen_US
dc.contributor.external-examinern/aen_US
dc.contributor.graduate-coordinatorDavid Ironen_US
dc.contributor.thesis-readerRobert van den Hoogenen_US
dc.contributor.thesis-readerRobert Milsonen_US
dc.contributor.thesis-supervisorAlan Coleyen_US
dc.contributor.ethics-approvalNot Applicableen_US
dc.contributor.manuscriptsNot Applicableen_US
dc.contributor.copyright-releaseNot Applicableen_US
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