Academic Journal
The c-completion of Lorentzian metric spaces
| العنوان: | The c-completion of Lorentzian metric spaces |
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| المؤلفون: | Burgos Rodríguez, Saúl Andrés, Flores, José L., Herrera, Jónatan |
| سنة النشر: | 2023 |
| المجموعة: | DIGIBUG: Repositorio Institucional de la Universidad de Granada |
| الوصف: | 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. ; Project PID2020-116126GB-I00 (funded by MCIN/AEI/10.13039/501100011033) ; IMAG-María de Maeztu grant CEX2020- 001105-M (funded by MCIN/AEI/10.13039/50110001103) ; Grants PID2020-118452GBI00 and PID2021-126217NBI00 (Spanish MICINN) ; PY20-01391 (PAIDI 2020, Junta de Andalucía-FEDER) |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | Published version: Saúl Burgos et al. 2023 Class. Quantum Grav. 40 205013 [DOI 10.1088/1361-6382/acf7a5]; https://hdl.handle.net/10481/85426 |
| DOI: | 10.1088/1361-6382/acf7a5 |
| الاتاحة: | https://hdl.handle.net/10481/85426 https://doi.org/10.1088/1361-6382/acf7a5 |
| Rights: | Attribution-NonCommercial-NoDerivatives 4.0 Internacional ; http://creativecommons.org/licenses/by-nc-nd/4.0/ ; info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.263113BC |
| قاعدة البيانات: | BASE |
| DOI: | 10.1088/1361-6382/acf7a5 |
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