M. Tegmark et J. Silk, REIONIZATION IN AN OPEN COLD DARK-MATTER UNIVERSE - IMPLICATIONS FOR COSMIC MICROWAVE BACKGROUND FLUCTUATIONS, The Astrophysical journal, 441(2), 1995, pp. 458-464
We generalize previous work on early photoionization to cold dark matt
er (CDM) models with Omega < 1. Such models have received recent inter
est because the excess power in the large-scale galaxy distribution is
phenomenologically fit if the ''shape parameter'' Gamma = h Omega(0)
approximate to 0.25. It has been argued that such models may require e
arly reionization to suppress small-scale anisotropies in order to be
consistent with experimental data. We find that if the cosmological co
nstant lambda = 0, the extent of this suppression is quite insensitive
to Omega(0). Given a sigma(8)-normalization today, the loss of small-
scale power associated with a lower Omega(0) is partially canceled by
higher optical depth from longer look-back times and by structures for
ming at higher redshifts before the universe becomes curvature dominat
ed. The maximum angular scale on which fluctuations are suppressed dec
reases when Omega(0) is lowered, but this effect is also rather weak a
nd unlikely to be measurable in the near future. For flat models, on t
he other hand, where lambda(0) = 1 - Omega(0), the negative effects of
lowering Omega(0) dominate, and early reionization is not likely to p
lay a significant role if Omega(0) much less than 1. The same applies
to CDM models where the effective Gamma is lowered by increasing the n
umber of relativistic particle species.