Advances in Theoretical and Mathematical Physics

Volume 13 (2009)

Number 5

An angular momentum bound at null infinity

Pages: 1317 – 1334

DOI: http://dx.doi.org/10.4310/ATMP.2009.v13.n5.a2

Authors

Piotr T. Chruściel

Paul Tod

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 (CMC) 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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