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SUMMARY:The conformal Killing spinor initial data equations
DTSTART:20220623T143000Z
DTEND:20220623T163000Z
DTSTAMP:20260625T234133Z
UID:c72e7512-09dd-48ca-b4c2-6dc89e598115
SEQUENCE:1
CREATED:20220620T091844Z
DESCRIPTION: Abstract:We obtain necessary and sufficient conditions for an
  initial data set for the vacuum conformal Einstein field equations to giv
 e rise to a spacetime development in possession of a Killing spinor. The f
 act that the conformal Einstein field equations are used in our derivation
  allows for the possibility of the initial hypersurface intersecting non-t
 rivially with (or even being a subset of) null infinity. For conciseness\,
  these conditions are derived assuming that the initial hypersurface is sp
 acelike. Hence\, in particular\, these conformal Killing spinor initial da
 ta equations encode necessary and sufficient conditions for the existence 
 of a Killing spinor in the development of asymptotic initial data on space
 like components of null infinity. 
LAST-MODIFIED:20220620T091844Z
LOCATION:Sala de Seminários do DF\,  Pavilhão de Física\, 2º piso
URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/the-conformal-killing-spin
 or-initial-data-equations/
X-ALT-DESC;FMTTYPE=text/html:<p data-block-key="cphli"> <b>Abstract:</b><b
 r/>We obtain necessary and sufficient conditions for an initial data set f
 or the vacuum conformal Einstein field equations to give rise to a spaceti
 me development in possession of a Killing spinor. The fact that the confor
 mal Einstein field equations are used in our derivation allows for the pos
 sibility of the initial hypersurface intersecting non-trivially with (or e
 ven being a subset of) null infinity. For conciseness\, these conditions a
 re derived assuming that the initial hypersurface is spacelike. Hence\, in
  particular\, these conformal Killing spinor initial data equations encode
  necessary and sufficient conditions for the existence of a Killing spinor
  in the development of asymptotic initial data on spacelike components of 
 null infinity. </p>
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