An angular momentum bound at null infinity

Details An angular momentum bound at null infinity An angular momentum bound at null infinity

2007-06-27

arxiv.org/abs/0706.4057v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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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