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math.DG2024
On the genericity of singularities in spacetimes with weakly trapped submanifolds
Victor Luis Espinoza, Ivan Pontual Costa e Silva
We investigate suitable, physically motivated conditions on spacetimes containing certain submanifolds - the so-called {weakly trapped submanifolds} - that ensure, in a set of neig…
math.DG2024
Transverse Geometry of Lorentzian foliations with applications to Lorentzian orbifolds
Francisco C. Caramello, Henrique A. Puel Martins, Ivan P. Costa e Silva
We prove a transverse diameter theorem in the context of Lorentzian foliations, which can be interpreted as a Hawking--Penrose-type singularity theorem for timelike geodesics trans…