13 citations · 42 across the 9 of their papers we have counts for
3 papers · 1 filter
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…
Isometries of spacetimes without observer horizons
Leonardo García-Heveling, Abdelghani Zeghib
We study the isometry groups of (non-compact) Lorentzian manifolds with well-behaved causal structure, aka causal spacetimes satisfying the ``no observer horizons'' condition. Our…
Global Hyperbolicity through the Eyes of the Null Distance
Annegret Burtscher, Leonardo García-Heveling
No Hopf-Rinow Theorem is possible in Lorentzian Geometry. Nonetheless, we prove that a spacetime is globally hyperbolic if and only if it is metrically complete with respect to the…