7 citations · 7 across the 6 of their papers we have counts for
6 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…
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-…
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…
The c-completion of Lorentzian metric spaces
Saúl Burgos, José Luis Flores, Jónatan Herrera
Inspired by some Lorentzian versions of the notion of metric and length space introduced by Kunzinger and Sämman, and more recently, by Müller, and Minguzzi and Sühr, we revisit th…
Causal completions as Lorentzian pre-length spaces
L. Ake Hau, Saul Burgos, Didier A. Solis
In this work we revisit the notion of the (future) causal completion of a globally hyperbolic spacetime and endow it with the structure of a Lorentzian pre-length space. We further…