  Our goal is to study the effects of the UV radiation from the first stars,
quasars and hypothetical Super Heavy Dark Matter (SHDM) particle decays 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
and MOND model, 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.
