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SUMMARY:Bridging the gap: towards a unified treatment of energy-momentum a
 t infinity - Joerg Frauendiener (University of Otago)
DTSTART:20240917T090000Z
DTEND:20240917T100000Z
UID:TALK219682@talks.cam.ac.uk
DESCRIPTION:It is well-known that energy-momentum in GR can be rigorously 
 defined in two different asymptotic regimes: the Bondi-Sachs energy-moment
 um at null infinity and the ADM momentum at space-like infinity. It is unc
 lear how to relate these two regimes and unify the two different notions o
 f energy-momentum. In this talk\, we revisit an old conjecture by Horowitz
  and Tod from 1982\, which asserts that this could be achieved provided th
 at there are solutions to the (appropriately rescaled) Weyl equation which
  reduce to solutions of the Witten equation on an initial data hypersurfac
 e. We use Friedrich's cylinder representation of space-like infinity\, whi
 ch connects the two regimes\, to show that such solutions can exist\, at l
 east in terms of formal expansions\, in space-times\, which are asymptotic
 ally Schwarzschild.
LOCATION:Seminar Room 2\, Newton Institute
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