Higher-Order Gravitational Perturbations of the Cosmic Microwave Background

Details Higher-Order Gravitational Perturbations of the Cosmic Microwave Background Higher-Order Gravitational Perturbations of the Cosmic Microwave Background

1995-10-06

arxiv.org/abs/astro-ph/9510041v2

Phys.Rev.D53:2920-2929,1996

Astronomy and Astrophysics

Astrophysics

21 pages, one figure; minor corrections, new references

Scientific paper

10.1103/PhysRevD.53.2920

We study the behavior of light rays in perturbed Robertson-Walker cosmologies, calculating the redshift between an observer and the surface of last scattering to second order in the metric perturbation. At first order we recover the classic results of Sachs and Wolfe, and at second order we delineate the various new effects which appear; there is no {\it a priori} guarantee that these effects are significantly smaller than those at first order, since there are large length scales in the problem which could lead to sizable prefactors. We find that second order terms of potential observational interest may be interpreted as transverse and longitudinal lensing by foreground density perturbations, and a correction to the integrated Sachs-Wolfe effect.

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