4 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…
Timelike ideal boundary of non-positively curved Lorentzian spaces
Saúl Burgos, Mauricio Che, Miguel Prados-Abad
We introduce the notion of timelike ideal boundary of a Lorentzian length space as the set of asymptotic classes of future or past-directed timelike geodesic rays, a construction c…
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 vector isometry…
The causal structure of the c-completion of warped spacetimes
Luis Aké Hau, Saul Burgos, Didier A. Solis
In this work we study the structure of the future causal completion of a globally hyperbolic GRW spacetime using the novel notion of Lorentzian pre…