Conformal tractor calculus for static and stationary spacetimes

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dc.contributor.advisor Gover, R en
dc.contributor.author Curry, Sean en
dc.date.accessioned 2012-07-16T23:08:35Z en
dc.date.issued 2012 en
dc.identifier.uri http://hdl.handle.net/2292/19345 en
dc.description Full Text is available to authenticated members of The University of Auckland only. en
dc.description.abstract We present a new approach to stationary and static spacetimes using the conformal tractor calculus. In this approach the natural prolongations of the conformal Einstein equation and the conformal Killing equation in terms of tractor calculus play a central role. In order to present tractor calculus for stationary and static spacetimes we have given a significant amount of background material on basic differential geometry, pseudo-Riemannian and conformal geometry, stationary and static spacetimes, and conformal tractor calculus. We also give new and fundamental results on Lie derivatives of conformal tractor fields with respect to conformal Killing vector fields. en
dc.publisher ResearchSpace@Auckland en
dc.relation.ispartof Masters Thesis - University of Auckland en
dc.relation.isreferencedby UoA en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. en
dc.rights Restricted Item. Full Text is available to authenticated members of The University of Auckland only. en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/nz/ en
dc.title Conformal tractor calculus for static and stationary spacetimes en
dc.type Thesis en
thesis.degree.discipline Mathematics en
thesis.degree.grantor The University of Auckland en
thesis.degree.level Masters en
dc.rights.holder Copyright: The author en
pubs.elements-id 358408 en
pubs.record-created-at-source-date 2012-07-17 en


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