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.
"An angular momentum bound at null infinity." Adv. Theor. Math. Phys. 13 (5) 1317 - 1334, October 2009.