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dc.contributor.authorChudecki, Adam
dc.contributor.authorDobrski, Michał
dc.date.accessioned2016-02-05T11:47:55Z
dc.date.available2016-02-05T11:47:55Z
dc.date.issued2014
dc.identifier.citationJournal of Mathematical Physics, Vol. 55, Issue 8, pages 082502 1 - 082502 12
dc.identifier.urihttp://hdl.handle.net/11652/1115
dc.identifier.urihttp://scitation.aip.org/content/aip/journal/jmp/55/8/10.1063/1.4893000
dc.description.abstractProper conformal symmetries in self-dual Einstein spaces are considered. It is shown that such symmetries are admitted only by the Einstein spaces of the type [N,−]⊗[N,−][N,−]⊗[N,−] . Spaces of the type [N]⊗[−][N]⊗[−] are considered in details. Existence of the proper conformal Killing vector implies existence of the isometric, covariantly constant, and null Killing vector. It is shown that there are two classes of [N]⊗[−][N]⊗[−] -metrics admitting proper conformal symmetry. They can be distinguished by analysis of the associated anti-self-dual (ASD) null strings. Both classes are analyzed in details. The problem is reduced to single linear partial differential equation (PDE). Some general and special solutions of this PDE are presented.en_EN
dc.language.isoenen_EN
dc.relation.ispartofseriesJournal of Mathematical Physics, Vol. 55, Issue 8, 2014en_EN
dc.titleProper conformal symmetries in self-dual Einstein spacesen_EN
dc.typeArtykułen_EN


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