3 papers
math.DG2026
Transverse stable causality in Lorentzian foliations
Henrique Amador Puel Martins, Ivan Pontual Costa e Silva, Victor Luis Espinoza
We introduce and investigate a notion analogous to stable causality for Lorentzian foliations, considerably extending the framework of transverse causality initiated in a recent wo…
math.DG2025
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.DG2025
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…