Einstein constraints: Uniqueness and nonuniqueness in the conformal thin sandwich approach

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dc.contributor.authorBaumgarte, Thomas W.
dc.contributor.authorÓ Murchadha, Niall
dc.contributor.authorPfeiffer, Harald P.
dc.date.accessioned2017-08-29T09:14:24Z
dc.date.available2017-08-29T09:14:24Z
dc.date.issued2007
dc.description.abstractWe study the appearance of multiple solutions to certain decompositions of Einstein's constraint equations. Pfeiffer and York recently reported the existence of two branches of solutions for a particular family of background data in the extended conformal thin-sandwich decomposition. We show that the Hamiltonian constraint alone, when expressed in a certain way, admits two branches of solutions with properties very similar to those found by Pfeiffer and York. We construct these two branches analytically for a constant-density star in spherical symmetry, but argue that this behavior is more general. In the case of the Hamiltonian constraint this nonuniqueness is well known to be related to the sign of one particular term, and we argue that the extended conformal thin-sandwich equations contain a similar term that causes the breakdown of uniqueness.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid44009
dc.identifier.citationBaumgarte, T. W., Ó Murchadha, N. and Pfeiffer, H. P. (2007) 'Einstein constraints: Uniqueness and nonuniqueness in the conformal thin sandwich approach', Physical Review D, 75(4), 044009 (9pp). doi: 10.1103/PhysRevD.75.044009en
dc.identifier.doi10.1103/PhysRevD.75.044009
dc.identifier.issn1550-7998
dc.identifier.issued4
dc.identifier.journaltitlePhysical Review Den
dc.identifier.urihttps://hdl.handle.net/10468/4574
dc.identifier.volume75
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.75.044009
dc.rights© 2007, American Physical Societyen
dc.subjectBinary neutron-starsen
dc.subjectGeneral-relativityen
dc.subjectEquationsen
dc.subjectSpacetimesen
dc.subjectModelsen
dc.titleEinstein constraints: Uniqueness and nonuniqueness in the conformal thin sandwich approachen
dc.typeArticle (peer-reviewed)en
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