An angular momentum bound at null infinity

Chruściel, Piotr T.; Tod, Paul

Adv. Theor. Math. Phys., Tome 13 (2009) no. 1, p. 1317-1334 / Harvested from Project Euclid

Résumé

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.

Publié le : 2009-10-15
Classification:

@article{1282054096,
     author = {Chru\'sciel, Piotr T. and Tod, Paul},
     title = {An angular momentum bound at null infinity},
     journal = {Adv. Theor. Math. Phys.},
     volume = {13},
     number = {1},
     year = {2009},
     pages = { 1317-1334},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1282054096}
}

Chruściel, Piotr T.; Tod, Paul. An angular momentum bound at null infinity. Adv. Theor. Math. Phys., Tome 13 (2009) no. 1, pp.  1317-1334. http://gdmltest.u-ga.fr/item/1282054096/