Marginally outer trapped surfaces and "null" mean curvature flows
Presenter
September 4, 2013
Keywords:
- mathematical relativity
- PDE and relativity
- differential geometry
- Lorentzian geometry
- Lorentzian manifold
- Einstein equations
- geometric evolution equations
- Riemannian geometry
- Penrose diagram
MSC:
- 83-XX
- 83CXX
- 83C05
- 83C20
- 83C60
- 83C75
- 35Qxx
- 35Q75
- 35Q76
- 53C44
Abstract
We introduce new geometric evolution equations for hypersurfaces in asymptotically flat Riemannian manifolds, and discuss a natural application of these null mean curvature flows to locating marginally outer trapped surfaces (MOTS) - which play the role of quasi-local black hole boundaries in general relativity.