To explain the effects of the ultraviolet (UV) background radiation on the
collapse of pre-galactic clouds, we implement a radiation-hydrodynamical ca
lculation, combining one-dimensional spherical hydrodynamics with an accura
te treatment of the radiative transfer of ionizing photons. Both absorption
and scattering of UV photons are explicitly taken into account. It turns o
ut that a gas cloud contracting within the dark matter potential does not s
ettle into hydrostatic equilibrium, but undergoes run-away collapse even un
der the presence of the external UV field. The cloud centre is shown to bec
ome self-shielded against ionizing photons by radiative transfer effects be
fore shrinking to the rotation barrier. Based on our simulation results, we
further discuss the possibility of H-2 cooling and subsequent star formati
on in a run-away collapsing core. The present results are closely relevant
to the survival of subgalactic Population III objects as well as to metal i
njection into intergalactic space.