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arXiv · 2106.05393

Null distance and convergence of Lorentzian length spaces

Michael Kunzinger·Roland Steinbauer
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Abstract

The null distance of Sormani and Vega encodes the manifold topology as well as the causality structure of a (smooth) spacetime. We extend this concept to Lorentzian length spaces, the analog of (metric) length spaces, which generalize Lorentzian causality theory beyond the manifold level. We then study Gromov-Hausdorff convergence based on the null distance in warped product Lorentzian length spaces and prove first results on its compatibility with synthetic curvature bounds.

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BibTeXRIS

Michael Kunzinger, Roland Steinbauer. 2021-06-09. Null distance and convergence of Lorentzian length spaces. https://doi.org/10.1007/s00023-022-01198-6

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