The causal structure of the c-completion of warped spacetimes
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911183543468032 |
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| author | Hau, Luis Aké Burgos, Saul Solis, Didier A. |
| author_facet | Hau, Luis Aké Burgos, Saul Solis, Didier A. |
| contents | In this work we study the structure of the future causal completion $\hat{M}$ of a globally hyperbolic GRW spacetime $\mathbb{R}\times_αM$ using the novel notion of Lorentzian pre-length spaces. As our main result, we prove that the causal completion of a GRW spacetime is a globally hyperbolic pre-length space provided the chronological topology is Hausdorff. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The causal structure of the c-completion of warped spacetimes Hau, Luis Aké Burgos, Saul Solis, Didier A. General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry Metric Geometry In this work we study the structure of the future causal completion $\hat{M}$ of a globally hyperbolic GRW spacetime $\mathbb{R}\times_αM$ using the novel notion of Lorentzian pre-length spaces. As our main result, we prove that the causal completion of a GRW spacetime is a globally hyperbolic pre-length space provided the chronological topology is Hausdorff. |
| title | The causal structure of the c-completion of warped spacetimes |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Differential Geometry Metric Geometry |
| url | https://arxiv.org/abs/2509.24392 |