Inverting the Sachs-Wolfe Formula: an Inverse Problem Arising in Early-Universe Cosmology

Details Inverting the Sachs-Wolfe Formula: an Inverse Problem Arising in Early-Universe Cosmology Inverting the Sachs-Wolfe Formula: an Inverse Problem Arising in Early-Universe Cosmology

1999-09-14

arxiv.org/abs/astro-ph/9909234v1

Inverse Prob. 15 (1999) 1393

Astronomy and Astrophysics

Astrophysics

In Press Inverse Problems 1999, 15 pages, 0 figures, Latex

Scientific paper

10.1088/0266-5611/15/6/301

The (ordinary) Sachs-Wolfe effect relates primordial matter perturbations to the temperature variations $\delta T/T$ in the cosmic microwave background radiation; $\delta T/T$ can be observed in all directions around us. A standard but idealised model of this effect leads to an infinite set of moment-like equations: the integral of $P(k) j_\ell^2(ky)$ with respect to k ($0

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