Last updated
2023-12-02T07:06:51.74+00:00
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.
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.
Symplectic ID
146804
Download URL
http://arxiv.org/abs/0706.4057v1
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Publication type
Journal Article
Publication date
27 Jun 2007