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Paper IPM / Astronomy / 12435 |
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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 back-reaction fluid. It is shown that, contrary to the claims in the literature,
the back-reaction 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.
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