Singularity theorems based on trapped submanifolds of arbitrary co-dimension

Details Singularity theorems based on trapped submanifolds of arbitrary co-dimension Singularity theorems based on trapped submanifolds of arbitrary co-dimension

2010-05-07

arxiv.org/abs/1005.1249v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, some corrections.

Scientific paper

Standard singularity theorems are proven in Lorentzian manifolds of arbitrary dimension n if they contain closed trapped submanifolds of arbitrary co-dimension. By using the mean curvature vector to characterize trapped submanifolds, a unification of the several possibilities for the boundary conditions in the traditional theorems and their generalization to arbitrary co-dimension is achieved. The classical convergence conditions must be replaced by a condition on sectional curvatures, or tidal forces, which reduces to the former in the cases of co-dimension 1, 2 or n.

Affiliated with

Also associated with

No associations

Rating

Singularity theorems based on trapped submanifolds of arbitrary co-dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Singularity theorems based on trapped submanifolds of arbitrary co-dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singularity theorems based on trapped submanifolds of arbitrary co-dimension will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223313