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arXiv · 2509.24392

The causal structure of the c-completion of warped spacetimes

Luis Aké Hau·Saul Burgos·Didier A. Solis
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Abstract

In this work we study the structure of the future causal completion $\hat{M}$ of a globally hyperbolic GRW spacetime $\mathbb{R}\times_\alpha M$ 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.

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Luis Aké Hau, Saul Burgos, Didier A. Solis. 2025-09-29. The causal structure of the c-completion of warped spacetimes. https://arxiv.org/abs/2509.24392

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