The second-order luminosity-redshift relation in a generic inhomogeneous cosmology
- Canadian Institute for Theoretical Astrophysics, 60 St George, Toronto ON, M5S 3H8 (Canada)
- Collège de France, 11 Place M. Berthelot, 75005 Paris (France)
- Laboratoire de Physique Théorique de l'École Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris (France)
After recalling a general non-perturbative expression for the luminosity-redshift relation holding in a recently proposed 'geodesic light-cone' gauge, we show how it can be transformed to phenomenologically more convenient gauges in which cosmological perturbation theory is better understood. We present, in particular, the complete result on the luminosity-redshift relation in the Poisson gauge up to second order for a fairly generic perturbed cosmology, assuming that appreciable vector and tensor perturbations are only generated at second order. This relation provides a basic ingredient for the computation of the effects of stochastic inhomogeneities on precision dark-energy cosmology whose results we have anticipated in a recent letter. More generally, it can be used in connection with any physical information carried by light-like signals traveling along our past light-cone.
- OSTI ID:
- 22279830
- Journal Information:
- Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
- Country of Publication:
- United States
- Language:
- English
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