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An angular momentum bound at null infinity

Abstract:
We prove an inequality relating the trace of the extrinsic curvature, the total angular momentum, the centre of mass, and the Trautman-Bondi mass for a class of gravitational initial data sets with constant mean curvature extending to null infinity. As an application we obtain non-existence results for the asymptotic Dirichlet problem for CMC hypersurfaces in stationary space-times.

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Publisher copy:
10.4310/ATMP.2009.v13.n5.a2

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Journal:
Advances in Theoretical and Mathematical Physics
Volume:
13
Issue:
5
Pages:
1317-1334
Publication date:
2007-06-27
DOI:
EISSN:
1095-0753
ISSN:
1095-0761
URN:
uuid:0e2f33e3-dabd-4779-bee7-4ec0b55ad681
Source identifiers:
146804
Local pid:
pubs:146804
Language:
English
Keywords:

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