Averaging in cosmological models
Alan Coley
TL;DR
This paper reviews the cosmological averaging problem, emphasizing the importance of scalar invariants for defining models and averaging procedures to improve the interpretation of cosmological data.
Contribution
It introduces a rigorous scalar invariant-based framework for defining cosmological models and averaging, addressing foundational issues in cosmological data analysis.
Findings
Clarifies the importance of averaging in cosmology
Provides a scalar invariant-based mathematical framework
Highlights implications for interpreting cosmological observations
Abstract
The averaging problem in cosmology is of considerable importance for the correct interpretation of cosmological data. We review cosmological observations and discuss some of the issues regarding averaging. We present a precise definition of a cosmological model and a rigorous mathematical definition of averaging, based entirely in terms of scalar invariants.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Advanced Mathematical Theories and Applications