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Full construction and evaluation of the Lentz warp metric in Warp Factory

Develop a complete construction of the Lentz warp drive metric, as introduced by Lentz (2022), within the Warp Factory numerical framework and carry out its full evaluation in that framework to assess the metric’s properties.

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Background

The paper analyzes several warp drive metrics using the Warp Factory toolkit, including an Alcubierre-type, Van Den Broeck-type, and a Bobrick–Martire modified time metric. For Lentz’s approach, the authors present a Lentz-inspired metric that uses multiple shift components, but they do not implement Lentz’s full construction based on a linear wave equation. They explicitly state that a full construction and evaluation of the Lentz metric in Warp Factory is deferred, indicating a concrete task that remains to be completed.

This open item is specific to building the exact Lentz metric within Warp Factory and performing the comprehensive numerical analysis (e.g., computing the stress–energy tensor and associated diagnostics) that the toolkit enables, which the paper does not yet provide.

References

The full construction and evaluation of the Lentz metric in Warp Factory was beyond the scope of this paper and will be left for future work.

Analyzing Warp Drive Spacetimes with Warp Factory (2404.03095 - Helmerich et al., 3 Apr 2024) in Section 4.4 (Lentz-Inspired Metric)