Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation

Umeh, Obinna; Clarkson, Chris; Maartens, Roy

doi:10.1088/0264-9381/31/20/205001

Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation

Feb 9, 2014

23 pages

Published in:

Class.Quant.Grav. 31 (2014) 205001

e-Print:

1402.1933 [astro-ph.CO]

DOI:

10.1088/0264-9381/31/20/205001

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Abstract: (arXiv)

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.

Note:

25 pages, 1 figure. v2 has presentational changes and minor corrections. To appear in CQG

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Figures(1)

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