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dc.contributor.authorde Freitas, GB
dc.contributor.authorGodazgar, M
dc.contributor.authorReall, HS
dc.date.accessioned2015-08-11T13:09:22Z
dc.date.available2015-08-11T13:09:22Z
dc.date.issued2015
dc.identifier.citationFreitas et al. Communications in Mathematical Physics (2015) Vol. 340, Issue 1, pp. 291-323. doi: 10.1007/s00220-015-2447-0
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., (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.languageEnglish
dc.language.isoen
dc.publisherSpringer Science and Business Media LLC
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 Dimensions
dc.typeArticle
dc.description.versionThis is the final version of the article. It first appeared from Springer via http://dx.doi.org/10.1007/s00220-015-2447-0
prism.endingPage323
prism.publicationDate2015
prism.publicationNameCommunications in Mathematical Physics
prism.startingPage291
prism.volume340
dc.rioxxterms.funderERC
dc.rioxxterms.projectidERC-2011-StG 279363-HiDGR
rioxxterms.versionofrecord10.1007/s00220-015-2447-0
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.licenseref.startdate2015-08-20
dc.contributor.orcidReall, Harvey [0000-0003-1363-6369]
dc.identifier.eissn1432-0916
rioxxterms.typeJournal Article/Review
pubs.funder-project-idScience and Technology Facilities Council (ST/J000434/1)
pubs.funder-project-idScience and Technology Facilities Council (ST/L000385/1)
pubs.funder-project-idScience and Technology Facilities Council (ST/L000636/1)
cam.issuedOnline2015-08-20


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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