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dc.contributor.authorFreitas, Gabriel Bernardi deen
dc.contributor.authorGodazgar, Mahdien
dc.contributor.authorReall, Harveyen
dc.date.accessioned2015-08-11T13:09:22Z
dc.date.available2015-08-11T13:09:22Z
dc.date.issued2015-08-20en
dc.identifier.citationFreitas et al. Communications in Mathematical Physics (2015) Vol. 340, Issue 1, pp. 291-323. doi: 10.1007/s00220-015-2447-0en
dc.identifier.issn0010-3616
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/249269
dc.description.abstractWe determine the most general solution of the five-dimensional vacuum Einstein equation, allowing for a cosmological constant, with (i) a Weyl tensor that is type II or more special in the classification of Coley et al., and (ii) a non-degenerate “optical matrix” encoding the expansion, rotation and shear of the aligned null direction. The solution is specified by three parameters. It is locally isometric to the 5d Kerr–de Sitter solution, or related to this solution by analytic continuation or taking a limit. This is in contrast with four dimensions, where there exist infinitely many solutions with properties (i) and (ii).
dc.description.sponsorshipThis work was supported by the European Research Council grant no. ERC-2011-StG 279363-HiDGR. G.B.F. is supported by CAPES grant no. 0252/11-5. M.G. is supported by King’s College, Cambridge.
dc.languageEnglishen
dc.language.isoenen
dc.publisherSpringer
dc.rightsAttribution 2.0 UK: England & Wales
dc.rights.urihttp://creativecommons.org/licenses/by/2.0/uk/
dc.titleUniqueness of the Kerr-de Sitter spacetime as an algebraically special solution in five dimensionsen
dc.typeArticle
dc.description.versionThis is the final version of the article. It first appeared from Springer via http://dx.doi.org/10.1007/s00220-015-2447-0en
prism.endingPage323
prism.publicationDate2015en
prism.publicationNameCommunications in Mathematical Physicsen
prism.startingPage291
prism.volume340en
dc.rioxxterms.funderERC
dc.rioxxterms.projectidERC-2011-StG 279363-HiDGR
rioxxterms.versionofrecord10.1007/s00220-015-2447-0en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-08-20en
dc.contributor.orcidReall, Harvey [0000-0003-1363-6369]
dc.identifier.eissn1432-0916
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idSTFC (ST/J000434/1)
pubs.funder-project-idSTFC (ST/L000385/1)
pubs.funder-project-idSTFC (ST/L000636/1)


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Attribution 2.0 UK: England & Wales
Except where otherwise noted, this item's licence is described as Attribution 2.0 UK: England & Wales