Open Access
October 2009 An angular momentum bound at null infinity
Piotr T. Chruściel, Paul Tod
Adv. Theor. Math. Phys. 13(5): 1317-1334 (October 2009).


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


Published: October 2009
First available in Project Euclid: 17 August 2010

zbMATH: 1202.83010
MathSciNet: MR2672464

Rights: Copyright © 2009 International Press of Boston

Vol.13 • No. 5 • October 2009
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