  Our goal is to study the effects of the UV radiation from the first stars,
quasars and decays of the hypothetical Super Heavy Dark Matter (SHDM) particles
on the formation of primordial bound objects in the Universe. We trace the
evolution of a spherically symmetric density perturbation in the Lambda Cold
Dark Matter ($\Lambda$CDM) and MOND models, solving the frequency-dependent
radiative transfer equation, non-equilibrium chemistry, and one-dimensional gas
hydrodynamics. We concentrate on the destruction and formation processes of the
H$_2$ molecule, which is the main coolant in the primordial objects.
