The second-order luminosity-redshift relation in a generic inhomogeneous cosmology
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.
Cite
@article{arxiv.1209.4326,
title = {The second-order luminosity-redshift relation in a generic inhomogeneous cosmology},
author = {Ido Ben-Dayan and Giovanni Marozzi and Fabien Nugier and Gabriele Veneziano},
journal= {arXiv preprint arXiv:1209.4326},
year = {2015}
}
Comments
19 pages. Some comments, clarifications and a reference added. Typos corrected. Version accepted for publication in JCAP