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A Lorentzian Gromov-Hausdoff notion of distance

Johan Noldus
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Abstract

This paper is the first of three in which I study the moduli space of isometry classes of (compact) globally hyperbolic spacetimes (with boundary). I introduce a notion of Gromov-Hausdorff distance which makes this moduli space into a metric space. Further properties of this metric space are studied in the next papers. The importance of the work can be situated in fields such as cosmology, quantum gravity and - for the mathematicians - global Lorentzian geometry.

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Johan Noldus. 2003-11-18. A Lorentzian Gromov-Hausdoff notion of distance. https://doi.org/10.1088/0264-9381%2F21%2F4%2F007

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