A note on the Lorentzian limit curve theorem (Q2851110)
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scientific article; zbMATH DE number 6214449
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the Lorentzian limit curve theorem |
scientific article; zbMATH DE number 6214449 |
Statements
9 October 2013
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limit curve theorem
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Lorentzian Gromov-Hausdorff distance
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A note on the Lorentzian limit curve theorem (English)
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This short note establishes a version of the limit curve theorem in Lorentzian geometry for a converging sequence of spacetimes, making use of a recently introduced notion of Lorentzian Gromov-Hausdorff distance by \textit{J. Noldus} [Classical Quantum Gravity 21, No. 4, 839--850 (2004; Zbl 1055.83034)]. A comparison between the length of the limit curve with the lengths of curves in the sequence is deduced using the main result.
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