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SUMMARY:Geometric Characterizations of Kerr-de Sitter and Related Metrics 
 in All Dimensions - Carlos Peón Nieto (UPM\, Madrid)
DTSTART:20250124T130000Z
DTEND:20250124T140000Z
UID:TALK225862@talks.cam.ac.uk
CONTACT:Daniela Cors
DESCRIPTION:The Kerr-de Sitter metric\, originally proposed by Carter in f
 our dimensions and later extended by Gibbons\, Lü\, Page and Pope to all 
 dimensions\, is likely to play a relevant role among Lambda positive vacuu
 m spacetimes. To better understand what makes it special\, we calculate th
 e asymptotic data characterizing the metric near conformal infinity. This 
 requires a review of tools in conformal geometry\, such as the Fefferman-G
 raham expansion\, and its relation with the asymptotic initial value probl
 em in arbitrary dimensions. The asymptotic data obtained for Kerr-de Sitte
 r admits a straightforward generalization to a broader class of spacetimes
  that depends on a set of parameters\, which we refer to as Kerr-de Sitter
 -like class. This class of metrics is obtained explicitly as limits or ana
 lytic extensions of Kerr-de Sitter and the space of parameters inherits a 
 natural topological structure from the asymptotic data. Furthermore\, we d
 iscuss additional characterizations within the Kerr-Schild type metrics an
 d the algebraically special metrics that highlight the geometrical signifi
 cance of the class.
LOCATION:Potter Room /  https://cam-ac-uk.zoom.us/j/84511154241?pwd=B778Jt
 HEd8Vb7aTOdsygQhBdXWbybI.1
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