Phys. Rev. D 79, 084006 (2009) [6 pages]Spatially averaged cosmology in an arbitrary coordinate systemReceived 4 March 2009; published 6 April 2009 This paper presents a general averaging procedure for a set of observers which are tilted with respect to the cosmological matter fluid. After giving the full set of equations describing the local dynamics, we define the averaging procedure and apply it to the scalar parts of Einstein’s field equations. In addition to the standard backreaction, new terms appear that account for the effect of the peculiar velocity of the matter fluid as well as the possible effect of a shift in the coordinate system. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.79.084006
DOI:
10.1103/PhysRevD.79.084006
PACS:
04.20.−q, 95.30.Sf, 98.80.Jk
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