Modified Averaging Processes in Cosmology and the Structured FRW model
arXiv:0709.2558 · doi:10.1142/S0218271809015011
Abstract
We study the volume averaging of inhomogeneous metrics within GR and discuss its shortcomings such as gauge dependence, singular behavior as a result of caustics, and causality violations. To remedy these shortcomings, we suggest some modifications to this method. As a case study we focus on the inhomogeneous structured FRW model based on a flat LTB metric. The effect of averaging is then studied in terms of an effective backreaction fluid. It is shown that, contrary to the claims in the literature, the backreaction fluid behaves like a dark matter component, instead of dark energy, having a density of the order of 10^{-5} times the matter density, and most importantly, it is gauge dependent.
17 pages, 9 figures, Brief changes in figs.4-6 and the Results section due to minor miscalculation, One reference corrected
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