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Title: 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.

Authors:
 [1]; ;  [2];  [3]
  1. Canadian Institute for Theoretical Astrophysics, 60 St George, Toronto ON, M5S 3H8 (Canada)
  2. Collège de France, 11 Place M. Berthelot, 75005 Paris (France)
  3. Laboratoire de Physique Théorique de l'École Normale Supérieure, CNRS UMR 8549, 24 Rue Lhomond, 75005 Paris (France)
Publication Date:
OSTI Identifier:
22279830
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2012; Journal Issue: 11; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCURACY; CALCULATION METHODS; COSMOLOGICAL MODELS; COSMOLOGY; GEODESICS; LIGHT CONE; LUMINOSITY; NONLUMINOUS MATTER; PERTURBATION THEORY; RED SHIFT; STOCHASTIC PROCESSES; VECTORS; VISIBLE RADIATION

Citation Formats

Ben-Dayan, Ido, Marozzi, Giovanni, Veneziano, Gabriele, and Nugier, Fabien, E-mail: ido.bendayan@gmail.com, E-mail: giovanni.marozzi@unige.ch, E-mail: fabien.nugier@lpt.ens.fr, E-mail: gabriele.veneziano@cern.ch. The second-order luminosity-redshift relation in a generic inhomogeneous cosmology. United States: N. p., 2012. Web. doi:10.1088/1475-7516/2012/11/045.
Ben-Dayan, Ido, Marozzi, Giovanni, Veneziano, Gabriele, & Nugier, Fabien, E-mail: ido.bendayan@gmail.com, E-mail: giovanni.marozzi@unige.ch, E-mail: fabien.nugier@lpt.ens.fr, E-mail: gabriele.veneziano@cern.ch. The second-order luminosity-redshift relation in a generic inhomogeneous cosmology. United States. doi:10.1088/1475-7516/2012/11/045.
Ben-Dayan, Ido, Marozzi, Giovanni, Veneziano, Gabriele, and Nugier, Fabien, E-mail: ido.bendayan@gmail.com, E-mail: giovanni.marozzi@unige.ch, E-mail: fabien.nugier@lpt.ens.fr, E-mail: gabriele.veneziano@cern.ch. Thu . "The second-order luminosity-redshift relation in a generic inhomogeneous cosmology". United States. doi:10.1088/1475-7516/2012/11/045.
@article{osti_22279830,
title = {The second-order luminosity-redshift relation in a generic inhomogeneous cosmology},
author = {Ben-Dayan, Ido and Marozzi, Giovanni and Veneziano, Gabriele and Nugier, Fabien, E-mail: ido.bendayan@gmail.com, E-mail: giovanni.marozzi@unige.ch, E-mail: fabien.nugier@lpt.ens.fr, E-mail: gabriele.veneziano@cern.ch},
abstractNote = {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.},
doi = {10.1088/1475-7516/2012/11/045},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 11,
volume = 2012,
place = {United States},
year = {2012},
month = {11}
}