Light-cone averaging in cosmology: formalism and applications

Details Light-cone averaging in cosmology: formalism and applications Light-cone averaging in cosmology: formalism and applications

2011-04-06

arxiv.org/abs/1104.1167v3

JCAP 1107:008,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

20 pages, 2 figures. Comments and references added, typos corrected. Version accepted for publication in JCAP

Scientific paper

10.1088/1475-7516/2011/07/008

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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