Gauges and Cosmological Backreaction
Iain A. Brown, Juliane Behrend, Karim A. Malik
TL;DR
This paper develops a formalism for spatial averaging in cosmology applicable to general spacetimes, and analyzes second-order perturbations in different gauges to understand backreaction effects.
Contribution
It introduces a versatile averaging formalism for general spacetimes and applies it to second-order perturbations in various gauges, enhancing understanding of cosmological backreaction.
Findings
Second-order perturbation corrections to the background are derived.
Differences in corrections are shown across gauges.
Formalism accommodates various matter sources and coordinate choices.
Abstract
We present a formalism for spatial averaging in cosmology applicable to general spacetimes and coordinates, and allowing the easy incorporation of a wide variety of matter sources. We apply this formalism to a Friedmann-LeMaitre-Robertson-Walker universe perturbed to second-order and present the corrections to the background in an unfixed gauge. We then present the corrections that arise in uniform curvature and conformal Newtonian gauges.
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