Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-03-07
Phys.Rev.D72:103004,2005
Astronomy and Astrophysics
Astrophysics
6 pages
Scientific paper
10.1103/PhysRevD.72.103004
We consider the impact of second order corrections to the geodesic equation governing gravitational lensing. We start from the full second order metric, including scalar, vector and tensor perturbations, and retain all relevant contributions to the cosmic shear corrections that are second order in the gravitational potential. The relevant terms are: the nonlinear evolution of the scalar gravitational potential, the Born correction, and lens-lens coupling. No other second order terms contribute appreciably to the lensing signal. Since ray-tracing algorithims currently include these three effects, this derivation serves as rigorous justification for the numerical predictions.
Dodelson Scott
Kolb Edward W.
Matarrese Sabino
Riotto Antonio
Zhang Pei-Pei
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