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SUMMARY:Compact Einstein Manifold from Generalized Kerr-NUT-de Sitter Metr
 ic - Yukinori Yasui\, Osaka City University
DTSTART:20100212T130000Z
DTEND:20100212T140000Z
UID:TALK22762@talks.cam.ac.uk
CONTACT:David Kubiznak
DESCRIPTION:In recent years there has been considerable progress in the st
 udy of properties of the higher-dimensional Kerr-NUT-(Anti) de Sitter blac
 k hole spacetimes. This progress builds on the discovery that the spacetim
 es admit a non-degenerate closed conformal Killing-Yano (CKY) 2-form which
  generates the hidden symmetries of the spacetimes. In this talk we first 
 generalize the Kerr-NUT-(Anti)de Sitter spacetime by removing the non-dege
 nerate condition\, and obtain a complete local classification of spacetime
 s admitting a closed CKY 2-form. The metrics are explicitly written as Kal
 uza-Klein metrics on the bundles over the Kahler manifolds whose fibers ar
 e Kerr-NUT-de Sitter spacetimes.\nNext we construct compact Einstein manif
 olds with a closed  CKY 2-form from  the generalized Euclidean Kerr-NUT-de
  Sitter spacetimes. These arise in particular on sphere bundles over Einst
 ein-Kahler manifolds with positive first Chern class\, which have been stu
 died recently by Hashimoto-Sakaguchi-Yasui\, Gibbons-Lu-Page-Pope\, Lu-Pag
 e-Pope et.al. Our construction provides a unifying framework for these wor
 ks\, and at the same time leads to the much larger class of new compact Ei
 nstein manifolds\, including Sasaki-Einstein manifolds.
LOCATION:Pavilion B Potter Room (B1.19)
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