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

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dc.contributor.author Baumgarte, Thomas W.
dc.contributor.author Ó Murchadha, Niall
dc.contributor.author Pfeiffer, Harald P.
dc.date.accessioned 2017-08-29T09:14:24Z
dc.date.available 2017-08-29T09:14:24Z
dc.date.issued 2007
dc.identifier.citation Baumgarte, 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.75.044009 en
dc.identifier.volume 75
dc.identifier.issued 4
dc.identifier.issn 1550-7998
dc.identifier.uri http://hdl.handle.net/10468/4574
dc.identifier.doi 10.1103/PhysRevD.75.044009
dc.description.abstract We 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.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.relation.uri https://journals.aps.org/prd/abstract/10.1103/PhysRevD.75.044009
dc.rights © 2007, American Physical Society en
dc.subject Binary neutron-stars en
dc.subject General-relativity en
dc.subject Equations en
dc.subject Spacetimes en
dc.subject Models en
dc.title Einstein constraints: Uniqueness and nonuniqueness in the conformal thin sandwich approach en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Niall Ó Murchadha, Physics, University College Cork, Cork, Ireland. +353-21-490-3000. Email: niall@ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:000244535200047
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review D en
dc.internal.IRISemailaddress niall@ucc.ie en
dc.identifier.articleid 44009


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