Scaling up the extrinsic curvature in gravitational initial data

dc.contributor.authorBai, Shan
dc.contributor.authorÓ Murchadha, Niall
dc.contributor.funderScience Foundation Ireland
dc.date.accessioned2017-08-29T09:04:01Z
dc.date.available2017-08-29T09:04:01Z
dc.date.issued2012
dc.description.abstractVacuum solutions to the Einstein equations can be viewed as the interplay between the geometry and the gravitational wave energy content. The constraints on initial data reflect this interaction. We assume we are looking at cosmological solutions to the Einstein equations so we assume that the 3-space is compact, without boundary. In this article we investigate, using both analytic and numerical techniques, what happens when the extrinsic curvature is increased while the background geometry is held fixed. This is equivalent to trying to magnify the local gravitational wave kinetic energy on an unchanged background. We find that the physical intrinsic curvature does not blow up. Rather the local volume of space expands to accommodate this attempt to increase the kinetic energy.en
dc.description.sponsorshipScience Foundation Ireland (07/RFP/PHYF148)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.articleid44028
dc.identifier.citationBai, S. and Ó Murchadha, N. (2012) 'Scaling up the extrinsic curvature in gravitational initial data', Physical Review D, 85(4), 044028 (9pp). doi: 10.1103/PhysRevD.85.044028en
dc.identifier.doi10.1103/PhysRevD.85.044028
dc.identifier.issn2470-0010
dc.identifier.issn2470-0029
dc.identifier.issued4
dc.identifier.journaltitlePhysical Review Den
dc.identifier.urihttps://hdl.handle.net/10468/4566
dc.identifier.volume85
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.85.044028
dc.rights© 2012, American Physical Societyen
dc.subjectTrapped surfacesen
dc.subjectVacuum spacetimesen
dc.subjectSymmetric tensorsen
dc.titleScaling up the extrinsic curvature in gravitational initial dataen
dc.typeArticle (peer-reviewed)en
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