New singularity theorems are proven in Lorentzian manifolds of arbitrary dimension n if they contain closed trapped submanifolds of arbitrary co-dimension. The timelike or null convergence conditions must be generalized to a condition on sectional curvatures, or tidal forces, which reduces to the former in the cases of co-dimension 1, 2 or n. Applications to higher dimensional theories and to the case of trapped circles are briefly mentioned.
|Original language||English (US)|
|Journal||Journal of Physics: Conference Series|
|State||Published - 2011|
|Event||Spanish Relativity Meeting: Gravity as a Crossroad in Physics, ERE 2010 - Granada, Spain|
Duration: Sep 6 2010 → Sep 10 2010
ASJC Scopus subject areas
- Physics and Astronomy(all)