# Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations

@article{Wieland2017QuasilocalGA, title={Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations}, author={Wolfgang Wieland}, journal={General Relativity and Gravitation}, year={2017}, volume={49}, pages={1-30} }

Witten’s proof for the positivity of the ADM mass gives a definition of energy in terms of three-surface spinors. In this paper, we give a generalisation for the remaining six Poincaré charges at spacelike infinity, which are the angular momentum and centre of mass. The construction improves on certain three-surface spinor equations introduced by Shaw. We solve these equations asymptotically obtaining the ten Poincaré charges as integrals over the Nester–Witten two-form. We point out that the… CONTINUE READING

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