Large scale structure formation in MDM models with a cosmological constant

Mathematics – Logic

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Scientific paper

We study linear power spectra and formation of large scale structures in flat cosmological models with Λ >= 0 and cold plus hot dark matter components. We refer to these models as mixed Λ models (MLM). We study MLM models with present matter density in the range 0.25 <= Ω_M <= 1, dimensionless Hubble constant 0.4 <= h <= 0.7 and the hot dark matter content with a ratio within the limits 0 <= Ω_H/Ω_M <= 0.3. Consistency with the estimated cluster abundance can be achieved for COBE normalized MLM models with Ω_H/Ω_M <= 0.2 and 0.45 <= Ω_M <= 0.75 for h = 0.5. If h = 0.7 then 0.3 <= Ω_M <= 0.5. These constraints are at 1σ level and standard MDM models are clearly ruled out.

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