Second Order Geodesic Corrections to Cosmic Shear
arXiv:astro-ph/0503160 · doi:10.1103/PhysRevD.72.103004
Abstract
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.
6 pages
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- Observed galaxy number counts on the lightcone up to second order: III. Magnification Bias
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- Non-linear relativistic contributions to the cosmological weak-lensing convergence
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- Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance
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- Lightcone Averaging and Precision Cosmology
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- Weak lensing corrections to tSZ-lensing cross correlation
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