Gauges and Cosmological Backreaction

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.

13 pages. Updated: reference added, typos corrected, exposition clarified. Version 3: Replaced with version published by JCAP

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• On average properties of inhomogeneous fluids in general relativity III: general fluid cosmologies
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• Post-Newtonian Gravity in Cosmology
• Towards physical cosmology: geometrical interpretation of Dark Energy, Dark Matter and Inflation without fundamental sources
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