The reheating and reionization history of the universe

We incorporate quasars into an analytic model to describe the reheating and reionization of the universe. In combination with a previous study of galaxies and Lyman-$\alpha$ clouds, we are able to provide a unified description of structure formation, verified against a large variety of observations. We also take into account the clumping of the baryonic gas in addition to the presence of collapsed objects. We consider two cosmologies: a critical universe with a CDM power-spectrum and an open universe with $\Omega_0=0.3$, $\Lambda=0$. The derived quasar luminosity function agrees reasonably well with observations at $z<4.5$ and with constraints over larger redshifts from the HDF. The radiation produced by these objects at $z \sim 16$ slowly reheats the universe which gets suddenly reionized at $z_{ri}=6.8$ for the open universe ($z_{ri}=5.6$ for the critical density universe). The UV background radiation simultaneously increases sharply to reach a maximum of $J_{21} = 0.18$ at $z=2.6$, but shows strong ionization edges until $z \leq 1$. The metallicity of the gas increases quickly at high $z$ and is already larger than $0.01 Z_{\odot}$ at $z=10$. The QSO number counts and the helium opacity constrain the reionization redshift to be $z_{ri} \sim 6$. We confirm that a population of faint quasars is needed in order to satisfy the observations. Due to the low reionization redshift, the damping of CMB fluctuations is quite small, but future observations (e.g. with the NGST) of the multiplicity functions of radiation sources and of the HI and HeII opacities will strongly constrain scenarios in which reionization is due to QSOs.