Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-11-25
Astronomy and Astrophysics
Astrophysics
48 pages, 22 figures, 2 tables
Scientific paper
Isentropic and isocurvature axion inflationary perturbations are studied in detail. If isocurvature perturbations are present, COBE requires the inflationary Hubble constant to be rather small, $H_{I} \stackrel{<}{\sim} 10^{12}$GeV, regardless of the inflation model. Microwave background anisotropies are calculated for CDM models with a mixture of axion and supersymmetric CDM. The angular power spectrum of the microwave background depends not only on the amplitude of the isocurvature power spectrum but also on $\Omega_{a}$. The Saskatoon data and $\sigma_{8}$ are used to constrain the contribution of axion isocurvature perturbations. Consistency with the Saskatoon data requires the square of the amplitude of the isocurvature perturbations to be $\stackrel{<}{\sim} 0.1$ times that of the adiabatic perturbations at $\ell=87$, and $\stackrel{<}{\sim} 10^{-3}-10^{-2}$ that of the adiabatic perturbations at $\ell=237$. Although not dominant, isocurvature perturbations are not yet ruled out. The consequences of isocurvature perturbations for axions and inflation are discussed.
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