- 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.
- 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:
- Copyright date:
- 2007
Journal article
An angular momentum bound at null infinity
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