Skip to main content
MathOverflow

Return to Question

removed capitals from title
Link
YCor
YCor
  • 63.9k
  • 5
  • 187
  • 286

Marginal Surfacessurfaces in Spacetimesspacetimes

added 152 characters in body
Source Link
Hollis Williams
Hollis Williams
  • 5.1k
  • 3
  • 26
  • 55

Is there some result on existence of marginally trapped surfaces in spacetime 4-manifolds?

Am I right in saying that a marginal surface (like a trapped surface in general) is a compact spacelike 2-surface by definition, so if we assume a spacelike hypersurface embedded in the manifold, does that mean that there has to be a marginal surface contained in that hypersurface, or is there some other weaker existence result?

Edit: I have considered this and obviously the answer is negative, as it would depend on the spacetime as to whether it contains a marginal surface.

Is there some result on existence of marginally trapped surfaces in spacetime 4-manifolds?

Am I right in saying that a marginal surface (like a trapped surface in general) is a compact spacelike 2-surface by definition, so if we assume a spacelike hypersurface embedded in the manifold, does that mean that there has to be a marginal surface contained in that hypersurface, or is there some other weaker existence result?

Is there some result on existence of marginally trapped surfaces in spacetime 4-manifolds?

Am I right in saying that a marginal surface (like a trapped surface in general) is a compact spacelike 2-surface by definition, so if we assume a spacelike hypersurface embedded in the manifold, does that mean that there has to be a marginal surface contained in that hypersurface, or is there some other weaker existence result?

Edit: I have considered this and obviously the answer is negative, as it would depend on the spacetime as to whether it contains a marginal surface.

Source Link
Hollis Williams
Hollis Williams
  • 5.1k
  • 3
  • 26
  • 55

Marginal Surfaces in Spacetimes

Is there some result on existence of marginally trapped surfaces in spacetime 4-manifolds?

Am I right in saying that a marginal surface (like a trapped surface in general) is a compact spacelike 2-surface by definition, so if we assume a spacelike hypersurface embedded in the manifold, does that mean that there has to be a marginal surface contained in that hypersurface, or is there some other weaker existence result?