Curvature estimates for stable marginally trapped surfaces
- 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.
| Author details: | Lars AnderssonORCiD, Jan Metzger |
|---|---|
| URL: | http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg |
| ISSN: | 0022-040X |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Journal of differential geometry. - ISSN 0022-040X. - 84 (2010), 2, S. 231 - 265 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access |
