Videos

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.
Supplementary Materials