University of Chicago

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- Introduction
- Observables
- Acoustic Peaks
- Matter Power Spectrum
- Gravitational Secondaries
- Scattering Secondaries
- Non-Gaussianity
- Data Analysis
- Discussion

Gravitational Secondaries

Gravitational secondaries arise from two sources: the differential redshift from time-variable metric perturbations [Sachs & Wolfe, 1967] and gravitational lensing. There are many examples of the former, one of which we have already encountered in §3.8 in the context of potential decay in the radiation dominated era. Such gravitational potential effects are usually called the integrated Sachs-Wolfe (ISW) effect in linear perturbation theory (§4.2.1), the Rees-Sciama (§4.2.2) effect in the non-linear regime, and the gravitational wave effect for tensor perturbations (§4.2.3). Gravitational waves and lensing also produce -modes in the polarization (see §3.7) by which they may be distinguished from acoustic polarization.

**Plate 5a: **Secondary anisotropies (a) Gravitational secondaries:
ISW, lensing and Rees-Sciama (moving halo) effects

Wayne Hu 2001-10-15