Advances in Theoretical and Mathematical Physics
Volume 13 (2009)
An angular momentum bound at null infinity
Pages: 1317 – 1334
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.