@misc{10481/85426, year = {2023}, month = {5}, url = {https://hdl.handle.net/10481/85426}, abstract = {Inspired by some Lorentzian versions of the notion of metric and length space introduced by Kunzinger and Sämman [24], and more recently, by Müller [31], and Minguzzi and Sühr [30], we revisit the notion of Lorentzian metric space in order to later construct the c-completion of these general objects. We not only prove that this construction is feasible in great generality for these objects, including spacetimes of low regularity, but also endow the c-completion with a structure of Lorentzian metric space by itself. We also prove that the c-completion constitutes a well-suited extension of the original space, which really completes it in a precise sense and becomes sensible to certain causal properties of that space.}, organization = {Project PID2020-116126GB-I00 (funded by MCIN/AEI/10.13039/501100011033)}, organization = {IMAG-María de Maeztu grant CEX2020- 001105-M (funded by MCIN/AEI/10.13039/50110001103)}, organization = {Grants PID2020-118452GBI00 and PID2021-126217NBI00 (Spanish MICINN)}, organization = {PY20-01391 (PAIDI 2020, Junta de Andalucía-FEDER)}, title = {The c-completion of Lorentzian metric spaces}, doi = {10.1088/1361-6382/acf7a5}, author = {Burgos Rodríguez, Saúl Andrés and Flores, José L. and Herrera, Jónatan}, }