A Lorentzian Gromov-Hausdoff notion of distance

Details A Lorentzian Gromov-Hausdoff notion of distance A Lorentzian Gromov-Hausdoff notion of distance

2003-08-22

arxiv.org/abs/gr-qc/0308074v3

Class.Quant.Grav. 21 (2004) 839-850

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 0 figures, submitted to Classical and quantum gravity, seriously improved presentation

Scientific paper

10.1088/0264-9381/21/4/007

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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