Sectional curvature of standard static space-times

buir.advisorÜnal, Bülent
dc.contributor.authorYavuz, Bengi Ruken
dc.date.accessioned2016-01-08T20:02:29Z
dc.date.available2016-01-08T20:02:29Z
dc.date.issued2013
dc.descriptionAnkara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2013.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2013.en_US
dc.descriptionIncludes bibliographical references leaves 45-47.en_US
dc.description.abstractCurvature related geometric properties of warped product manifolds are given. The casual structure of Lorentzian warped products is reviewed. In particular, two well-known examples of warped product space-times models, i.e, generalized Robertson-Walker and standard static space-times are studied. The sectional curvature of a standard static space-time is established and some conditions are obtained to have nonnegative sectional curvature so that applications of singularity theorems to a standard static space-time can be considered.en_US
dc.description.provenanceMade available in DSpace on 2016-01-08T20:02:29Z (GMT). No. of bitstreams: 1 0006746.pdf: 362185 bytes, checksum: 7b85f31b25ae3f107ca2b243792b6d83 (MD5)en
dc.description.statementofresponsibilityYavuz, Bengi Rukenen_US
dc.format.extentvii, 54 leavesen_US
dc.identifier.urihttp://hdl.handle.net/11693/16890
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectsemi-Riemannian geometryen_US
dc.subjectwarped productsen_US
dc.subjectGeneralized RobertsonWalker space-timesen_US
dc.subjectStandard Static space-timesen_US
dc.subjectsectional curvatureen_US
dc.subjectgeodesicen_US
dc.subject.lccQA645 .Y38 2013en_US
dc.subject.lcshCurvature.en_US
dc.subject.lcshSemi-Riemannian geometry.en_US
dc.subject.lcshRelativity (Physics)en_US
dc.subject.lcshSpace and time.en_US
dc.titleSectional curvature of standard static space-timesen_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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