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• W3120308239 abstract "The null distance for Lorentzian manifolds was recently introduced by Sormani and Vega. Under mild assumptions on the time function of the spacetime, the null distance gives rise to an intrinsic, conformally invariant metric that induces the manifold topology. We show when warped products of low regularity and globally hyperbolic spacetimes endowed with the null distance are (local) integral current spaces. This metric and integral current structure sets the stage for investigating convergence analogous to Riemannian geometry. Our main theorem is a general convergence result for warped product spacetimes relating uniform, Gromov--Hausdorff and Sormani--Wenger intrinsic flat convergence of the corresponding null distances. In addition, we show that non-uniform convergence of warping functions in general leads to distinct limiting behavior, such as limits that disagree." @default.
• W3120308239 created "2021-01-18" @default.
• W3120308239 creator A5037524860 @default.
• W3120308239 creator A5053917564 @default.
• W3120308239 date "2021-01-06" @default.
• W3120308239 modified "2023-10-10" @default.
• W3120308239 title "Properties of the Null Distance and Spacetime Convergence" @default.
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• W3120308239 doi "https://doi.org/10.1093/imrn/rnaa311" @default.
• W3120308239 hasPublicationYear "2021" @default.
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