There are no R(3) x S(1) vacuum gravitational instantons

dc.contributor.authorÓ Murchadha, Niall
dc.contributor.authorShanahan, Hugh
dc.date.accessioned2017-09-08T09:15:50Z
dc.date.available2017-09-08T09:15:50Z
dc.date.issued1993
dc.description.abstractGravitational instantons, solutions to the Euclidean Einstein equations, with topology R3 x S1 arise naturally in finite-temperature quantum gravity. It is shown here that all such instantons must have the same asymptotic structure as the Schwarzschild instanton. From this follows that if the Ricci tensor of such a manifold is non-negative it must be flat. Hence there is no nontrivial vacuum gravitational instanton on R3 x S1. This places a significant restriction on the instabilities of hot flat space. Another consequence is that any static vacuum Lorentzian Kaluza-Klein solution is flat.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationÓ Murchadha, N. and Shanahan, H. (1993) 'There are no R(3) x S(1) vacuum gravitational instantons', Physical Review Letters, 70(11), 1576-1578 (3pp). doi: 10.1103/PhysRevLett.70.1576en
dc.identifier.doi10.1103/PhysRevLett.70.1576
dc.identifier.endpage1578
dc.identifier.issn0031-9007
dc.identifier.issued11
dc.identifier.journaltitlePhysical Review Lettersen
dc.identifier.startpage1576
dc.identifier.urihttps://hdl.handle.net/10468/4666
dc.identifier.volume70
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.70.1576
dc.rights© 1993, American Physical Societyen
dc.subjectGraviational instantonsen
dc.subjectSchwarzschild instantonen
dc.subjectEuclidean Einstein equationsen
dc.titleThere are no R(3) x S(1) vacuum gravitational instantonsen
dc.typeArticle (peer-reviewed)en
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
3676.pdf
Size:
261.6 KB
Format:
Adobe Portable Document Format
Description:
Published Version