The cosmological backreaction: gauge (in)dependence, observers and scalars

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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16 pages, no figures. Comments and references added, errors and typos corrected, conclusions unchanged. Comment added and typo

Scientific paper

10.1088/1475-7516/2011/01/012

We discuss several issues related to a recent proposal for defining classical spatial averages to be used in the so-called cosmological backreaction problem. In the large averaging-volume limit all gauge dependence disappears and different averages can be univocally characterized by the observers associated with different scalar fields. The relation between such averaging procedure and the standard one is emphasized and a gauge invariant way to select different observers is presented. For finite averaging volumes we show that, within our proposal, a residual gauge dependence is left, but is suppressed by several effects.

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