Light-cone averaging in cosmology: Formalism and applications

Gasperini, M.; Marozzi, G.; Nugier, F.; Veneziano, G.

doi:10.1088/1475-7516/2011/07/008

Light-cone averaging in cosmology: Formalism and applications

M. Gasperini
(
- Bari U. and
- INFN, Bari
)
,
G. Marozzi
(
- College de France
)
,
F. Nugier
(
- Ecole Normale Superieure
)
,
G. Veneziano
(
- College de France and
- CERN
)

Apr, 2011

19 pages

Published in:

JCAP 07 (2011) 008

e-Print:

1104.1167 [astro-ph.CO]

DOI:

10.1088/1475-7516/2011/07/008

Report number:

BA-TH-641-11,
CERN-PH-TH-2011-071,
LPTENS-11-15

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Abstract: (arXiv)

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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