An angular momentum bound at null infinity
General Relativity and Quantum Cosmology
2016-09-08 v1
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.
Keywords
Cite
@article{arxiv.0706.4057,
title = {An angular momentum bound at null infinity},
author = {Piotr T. Chruściel and Paul Tod},
journal= {arXiv preprint arXiv:0706.4057},
year = {2016}
}