Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 7, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2011/07/008
Keywords
dark energy theory; gravity; cosmological perturbation theory
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We present a general gauge invariant formalism for defining cosmological averages that are relevant for observations based on light-like signals. Such averages involve either null hypersurfaces corresponding to a family of past light-cones or compact surfaces given by their intersection with timelike hypersurfaces. Generalized Buchert-Ehlers commutation rules for derivatives of these light-cone averages are given. After introducing some adapted geodesic light-cone coordinates, we give explicit expressions for averaging the redshift to luminosity-distance relation and the so-called redshift drift in a generic inhomogeneous Universe.
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