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

Show simple item record Ó Murchadha, Niall Shanahan, Hugh 2017-09-08T09:15:50Z 2017-09-08T09:15:50Z 1993
dc.identifier.citation Ó 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.70.1576 en
dc.identifier.volume 70
dc.identifier.issued 11
dc.identifier.startpage 1576
dc.identifier.endpage 1578
dc.identifier.issn 0031-9007
dc.identifier.doi 10.1103/PhysRevLett.70.1576
dc.description.abstract Gravitational 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.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society en
dc.rights © 1993, American Physical Society en
dc.subject Graviational instantons en
dc.subject Schwarzschild instanton en
dc.subject Euclidean Einstein equations en
dc.title There are no R(3) x S(1) vacuum gravitational instantons en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Niall Ó Murchadha, Physics, University College Cork, Cork, Ireland. +353-21-490-3000. Email: en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.internal.wokid WOS:A1993KT36600003
dc.description.status Peer reviewed en
dc.identifier.journaltitle Physical Review Letters en
dc.internal.IRISemailaddress en

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