October 9, 2025Open Access

Metric Convergence of Sequences of Static Spacetimes with the Null Distance

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Uniform, Gromov-Hausdorff, and Sormani-Wenger Intrinsic Flat convergence are studied for static spacetimes.
An analog of the Volume Above Distance Below theorem is proven for sequences utilizing null distance metrics.
The paper contributes conjectures regarding sequences of globally hyperbolic spacetimes with the null distance.
The results build upon existing work by Sormani and Vega defining a compatible metric space structure.

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Implication

This paper explores the definitions of convergence in metric spaces for sequences of spacetimes, highlighting null distance's role and its implications.

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Brian Allen (2025) studied this question.

synapsesocial.com/papers/68e7ba40ccde5f1021f64c73 https://doi.org/10.48550/arxiv.2510.02237

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Implication

This paper explores the definitions of convergence in metric spaces for sequences of spacetimes, highlighting null distance's role and its implications.

Metric Convergence of Sequences of Static Spacetimes with the Null Distance

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Discussion

Implication

Cite This Study

Metric Convergence of Sequences of Static Spacetimes with the Null Distance

Key Points

Discussion

Implication

Cite This Study

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