2014/02/28 by Obinna Umeh, Chris Clarkson, Roy Maartens · 4 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Stellar, planetary, and galactic studies #astro-ph.CO #gr-qc
paper · pdf · doi:10.1088/0264-9381/31/20/205001
published as Class. Quantum Grav. 31 205001 (2014) · 25 pages, 1 figure. v2 has presentational changes and minor corrections. To appear in CQG
arxiv created 2014/09/22 · openalex publication_date 2014/10/01 · arxiv updated 2015/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a derivation of the cosmological distance-redshift relation up to second order in perturbation theory. In addition, we find the observed redshift and the lensing magnification to second order. We do not require that the density contrast is small, we only that the metric potentials and peculiar velocities are small. Thus our results apply into the nonlinear regime, and can be used for most dark energy models. We present the results in a form which can be readily computed in an N-body simulation. This paper accompanies arXiv:1207.2109, where the key results are summarised in a physically transparent form and applications are discussed.