Abstract
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) |
|---|---|
| Article number | 012092 |
| Journal | Journal of Physics: Conference Series |
| Volume | 314 |
| Issue number | 1 |
| DOIs | |
| 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)
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Cite this
Galloway, G. J., & Senovilla, J. M. M. (2011). Singularity theorems assuming trapped submanifolds of arbitrary dimension. Journal of Physics: Conference Series, 314(1), [012092]. https://doi.org/10.1088/1742-6596/314/1/012092