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dc.contributor.advisorBeyer, Florian
dc.contributor.authorRitchie, Joshua
dc.date.available2018-05-20T23:49:26Z
dc.date.copyright2018
dc.identifier.citationRitchie, J. (2018). Asymptotics of solutions in evolutionary formulations of the Einstein constraint equations. (Thesis, Master of Science). University of Otago. Retrieved from http://hdl.handle.net/10523/8046en
dc.identifier.urihttp://hdl.handle.net/10523/8046
dc.description.abstractPerforming a 2+1 split of an initial data set allows one to formulate the Einstein constraint equations as an initial value problem. There are two possible sets of equations that can arise here, the parabolic-hyperbolic equations and the strictly hyperbolic equations. The fundamental difference between the two formulations is in how the 2+1 lapse is treated. We study the asymptotic behaviour of solutions in both formulations by considering perturbations to known solutions of the constraint equations. The thesis then ends by introducing a model to produce data sets that describe binary black holes in the parabolic-hyperbolic formulations.
dc.format.mimetypeapplication/pdf
dc.language.isoen
dc.publisherUniversity of Otago
dc.rightsAll items in OUR Archive are provided for private study and research purposes and are protected by copyright with all rights reserved unless otherwise indicated.
dc.subjectconstraint equations
dc.subjectgeneral relativity
dc.subjectbinary black holes
dc.subjectinitial value problem
dc.subjectparabolic-hyperbolic
dc.subjectstrongly hyperbolic
dc.titleAsymptotics of solutions in evolutionary formulations of the Einstein constraint equations.
dc.typeThesis
dc.date.updated2018-05-20T23:16:41Z
dc.language.rfc3066en
thesis.degree.disciplineDepartment of Mathematics and Statistics
thesis.degree.nameMaster of Science
thesis.degree.grantorUniversity of Otago
thesis.degree.levelMasters
otago.openaccessOpen
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