The second-order luminosity-redshift relation in a generic inhomogeneous cosmology
- 1 November 2012
- journal article
- Published by IOP Publishing in Journal of Cosmology and Astroparticle Physics
- Vol. 2012 (11), 045
- https://doi.org/10.1088/1475-7516/2012/11/045
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.Keywords
Other Versions
This publication has 21 references indexed in Scilit:
- Backreaction on the luminosity-redshift relation from gauge invariant light-cone averagingJournal of Cosmology and Astroparticle Physics, 2012
- Erratum: Fluctuations of the luminosity distance [Phys. Rev. D73, 023523 (2006)]Physical Review D, 2012
- Light-cone averaging in cosmology: formalism and applicationsJournal of Cosmology and Astroparticle Physics, 2011
- Effect of inhomogeneities on the luminosity distance-redshift relation: Is dark energy necessary in a perturbed universe?Physical Review D, 2005
- The luminosity distance in perturbed FLRW space-timesMonthly Notices of the Royal Astronomical Society, 2004
- Lensing and caustic effects on cosmological distancesClassical and Quantum Gravity, 1998
- Relativistic second-order perturbations of the Einstein–de Sitter universePhysical Review D, 1998
- Perfect fluid perturbations of cosmological spacetimes in Stewart's variablesClassical and Quantum Gravity, 1994
- The magnitude–redshift relation in a perturbed Friedmann universeMonthly Notices of the Royal Astronomical Society, 1987
- THE NUMBER COUNT — REDSHIFT RELATION IN A PERTURBED FRIEDMANN UNIVERSEModern Physics Letters A, 1987