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dc.contributor.authorBeheshti, Sen_US
dc.contributor.authorTahvildar-Zadeh, ASen_US
dc.date.accessioned2016-06-03T10:33:50Z
dc.date.available2013-12-18en_US
dc.date.issued2014-06-16en_US
dc.date.submitted2016-05-19T13:40:01.545Z
dc.identifier.urihttp://qmro.qmul.ac.uk/xmlui/handle/123456789/12654
dc.description21 pages, no figures
dc.description21 pages, no figuresen_US
dc.description.abstractMotivated by integrability of the sine-Gordon equation, we investigate a technique for constructing desired solutions to Einstein's equations by combining a dressing technique with a control-theory approach. After reviewing classical integrability, we recall two well-known Killing field reductions of Einstein's equations, unify them using a harmonic map formulation, and state two results on the integrability of the equations and solvability of the dressing system. The resulting algorithm is then combined with an asymptotic analysis to produce constraints on the degrees of freedom arising in the solution-generation mechanism. The approach is carried out explicitly for the Einstein vacuum equations. Applications of the technique to other geometric field theories are also discussed.en_US
dc.format.extent207 - 231en_US
dc.relation.ispartofNonlinear Systems and Complexityen_US
dc.rightshttp://arxiv.org/abs/1312.5253
dc.subjectnlin.SIen_US
dc.subjectnlin.SIen_US
dc.subjectgr-qcen_US
dc.subjectmath.APen_US
dc.subject35Q75, 83C15, 35R01, 53C43, 37K15, 93B05en_US
dc.titleDressing with Control: using integrability to generate desired solutions to Einstein's equationsen_US
dc.typeArticle
dc.rights.holder© Springer International Publishing Switzerland 2014
dc.identifier.doi10.1007/978-3-319-06722-3_9en_US
pubs.author-urlhttp://arxiv.org/abs/1312.5253v1en_US
pubs.notesNot knownen_US
pubs.notesPublished in "The sine-Gordon Model and its Applications: from pendula to Josephson Junctions to gravity and high energy physics," J. Cuevas, P. Kevrekidis, F. Williams, editors. Springer-Verlag (2014)en_US
pubs.publication-statusPublisheden_US
pubs.volume10en_US
dcterms.dateAccepted2013-12-18en_US


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