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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Bridging the gap: towards a unified treatment of e
nergy-momentum at infinity - Joerg Frauendiener (U
niversity of Otago)
DTSTART;TZID=Europe/London:20240917T100000
DTEND;TZID=Europe/London:20240917T110000
UID:TALK219682AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/219682
DESCRIPTION:It is well-known that energy-momentum in GR can be
rigorously defined in two different asymptotic re
gimes: the Bondi-Sachs energy-momentum at null inf
inity and the ADM momentum at space-like infinity.
It is unclear how to relate these two regimes and
unify the two different notions of energy-momentu
m. In this talk\, we revisit an old conjecture by
Horowitz and Tod from 1982\, which asserts that th
is could be achieved provided that there are solut
ions to the (appropriately rescaled) Weyl equation
which reduce to solutions of the Witten equation
on an initial data hypersurface. We use Friedrich'
s cylinder representation of space-like infinity\,
which connects the two regimes\, to show that suc
h solutions can exist\, at least in terms of forma
l expansions\, in space-times\, which are asymptot
ically Schwarzschild.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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