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math.DG2023
Genericity of singularities in spacetimes with weakly trapped submanifolds
Ivan Pontual Costa e Silva, Victor Luis Espinoza
Using the standard Whitney topologies on spaces of Lorentzian metrics, we show that the existence of causal incomplete geodesics is a -generic feature within the class of…
gr-qc2023
On the existence of sections with constant surface gravity on null hypersurfaces
Ivan P. Costa e Silva, José L. Flores, Benjamín Olea
We identify, in spacetimes satisfying the null convergence condition, a certain natural class of null hypersurfaces that admit null sections with constant surface gravity. Our work…