Averaging in cosmological models using scalars

被引：24
作者：
Coley, A. A. [1 ]
机构：
[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 3J5, Canada
来源：
CLASSICAL AND QUANTUM GRAVITY | 2010年 / 27卷 / 24期
基金：
加拿大自然科学与工程研究理事会;
关键词：
GENERAL-RELATIVITY; INHOMOGENEOUS FLUIDS; ANISOTROPY; UNIVERSES; TENSOR; FIELD;
D O I：
10.1088/0264-9381/27/24/245017
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The averaging problem in cosmology is of considerable importance for the correct interpretation of cosmological data. A rigorous mathematical definition of averaging in a cosmological model is necessary. In general, a spacetime is completely characterized by its scalar curvature invariants, and this suggests a particular spacetime averaging scheme based entirely on scalars. We clearly identify the problems of averaging in a cosmological model. We then present a precise definition of a cosmological model, and based upon this definition, we propose an averaging scheme in terms of scalar curvature invariants. This scheme is illustrated in a simple static spherically symmetric perfect fluid cosmological spacetime, where the averaging scales are clearly identified.
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页数：21
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