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arXiv · 2608.04718

Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime

Nicola Gigli·Argam Ohanyan·Marco Picerni·Zhe-Feng Xu·Matteo Zanardini
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Abstract

We study the directed completion of Lorentzian pre-length spaces, and we show that, under some natural assumptions which cover the case of smooth globally hyperbolic spacetimes, it coincides with the future causal completion of Geroch--Kronheimer--Penrose. Moreover, we provide applications of our findings by characterizing the directed completion of the Kruskal--Szekeres spacetime in terms of its radial null geodesics.

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Nicola Gigli, Argam Ohanyan, Marco Picerni, Zhe-Feng Xu, Matteo Zanardini. 2026-08-05. Ideal points, directed completion and the case of the maximally extended Schwarzschild spacetime. https://arxiv.org/abs/2608.04718

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