Singularity theorems assuming trapped submanifolds of arbitrary dimension

Gregory J. Galloway, José M.M. Senovilla

Research output: Contribution to journalConference articlepeer-review


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 languageEnglish (US)
Article number012092
JournalJournal of Physics: Conference Series
Issue number1
StatePublished - 2011
EventSpanish Relativity Meeting: Gravity as a Crossroad in Physics, ERE 2010 - Granada, Spain
Duration: Sep 6 2010Sep 10 2010

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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