Constraints on structure formation models from Sunyaev-Zel'dovich Effect

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Latex, 10 pages with 2 embedded figures, uses mn.tex, accepted for publication in MNRAS

Scientific paper

10.1046/j.1365-8711.2000.03153.x

In the context of cold dark matter (CDM) cosmological models, we have simulated images of the brightness temperature fluctuations in the cosmic microwave background (CMB)sky owing to the Sunyaev Zel$^{\prime}$dovich (S-Z) effect in a cosmological distribution of clusters. We compare the image statistics with recent ATCA limits on arcmin-scale CMB anisotropy. The S-Z effect produces a generically non-Gaussian field and we compute the variance in the simulated temperature-anisotropy images, after convolution with the ATCA beam pattern, for different cosmological models. All the models are normalised to the 4-year {\it COBE} data. We find an increase in the simulated-sky temperature variance with increase in the cosmological density parameter $\Omega_0$. A comparison with the upper limits on the sky variance set by the ATCA appears to rule out our closed-universe model: low-$\Omega_0$ open-universe models are preferred. The result is independent of any present day observations of $\sigma_8$.

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