Abstract
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.
Original language | English |
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Article number | 045 |
Journal | Journal of Cosmology and Astroparticle Physics |
Volume | 2012 |
Issue number | 11 |
DOIs | |
State | Published - 1 Nov 2012 |
Externally published | Yes |
Keywords
- cosmological perturbation theory
- dark energy theory
- gravity
ASJC Scopus subject areas
- Astronomy and Astrophysics