A Lorentzian Gromov-Hausdorff notion of distance

被引：13
|
作者：
Noldus, J [1 ]
机构：
[1] Univ Ghent, Vakgrp Wiskundige Analyse, B-9000 Ghent, Belgium
来源：
CLASSICAL AND QUANTUM GRAVITY | 2004年 / 21卷 / 04期
关键词：
D O I：
10.1088/0264-9381/21/4/007
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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 two papers. The importance of the work is in fields such as cosmology, quantum gravity and-for the mathematicians-global Lorentzian geometry.
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页码：839 / 850
页数：12
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