Curvature estimates for stable marginally trapped surfaces

Andersson, Lars; Metzger, Jan

J. Differential Geom., Tome 84 (2010) no. 1, p. 231-265 / Harvested from Project Euclid

Résumé

We derive local integral and sup- estimates for the curvature of stable marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situations of physical interest, such as dynamical horizons.

Publié le : 2010-02-15
Classification:

@article{1274707313,
     author = {Andersson, Lars and Metzger, Jan},
     title = {Curvature estimates for stable marginally trapped surfaces},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 231-265},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1274707313}
}

Andersson, Lars; Metzger, Jan. Curvature estimates for stable marginally trapped surfaces. J. Differential Geom., Tome 84 (2010) no. 1, pp.  231-265. http://gdmltest.u-ga.fr/item/1274707313/