1 citations · 1 across the 2 of their papers we have counts for
5 papers
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…
Mean Curvature, Singularities and Time Functions in Cosmology
Gregory J. Galloway, Leonardo García-Heveling
In this contribution, we study spacetimes of cosmological interest, without making any symmetry assumptions. We prove a rigid Hawking singularity theorem for positive cosmological…
Minimal Elements of the Causal Boundary with Applications to Spacetime Splitting
Leonardo García-Heveling
In 1972, Geroch, Kronheimer, and Penrose introduced what is now called the causal boundary of a spacetime. This boundary is constructed out of Terminal Indecomposable Past sets (TI…
Radial Gravitational Collapse Causes Timelike Incompleteness
Leonardo García-Heveling
We show that a globally hyperbolic spacetime containing a trapped surface and satisfying the strong energy condition and a condition on certain radial tidal forces must be timelike…