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math.DG2026
On the affine parametrization of null geodesics in low regularity
Saúl Burgos, Leonardo García-Heveling, Melanie Graf
In low-regularity spacetimes and Lorentzian length spaces, achronal causal curves play the role of null (pre-)geodesics. Because of the lack of a geodesic equation, they do not com…
math.DG2025
Lorentzian Cheeger-Gromov convergence and temporal functions
Saúl Burgos, José L. Flores, Miguel Sánchez
Uniqueness (up to isometries) and existence of limits are studied in the context of Cheeger-Gromov convergence of spacetimes. To address the non-compactness of the linear isometry…