Spatially averaged cosmology in an arbitrary coordinate system

Details Spatially averaged cosmology in an arbitrary coordinate system Spatially averaged cosmology in an arbitrary coordinate system

2009-02-18

arxiv.org/abs/0902.3159v2

Phys.Rev.D79:084006,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figure. Replaced to match the version published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.79.084006

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.

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