  The dynamics of Einstein-conformally coupled Higgs field (EccH) system is
investigated near the initial singularities in the presence of
Friedman-Robertson--Walker symmetries. We solve the field equations
asymptotically up to fourth order near the singularities analytically, and
determine the solutions numerically as well. We found all the asymptotic, power
series singular solutions, which are (1) solutions with a scalar polynomial
curvature singularity but the Higgs field is bounded (`Small Bang'), or (2)
solutions with a Milne type singularity with bounded spacetime curvature and
Higgs field, or (3) solutions with a scalar polynomial curvature singularity
and diverging Higgs field (`Big Bang'). Thus, in the present EccH model there
is a new kind of physical spacetime singularity (`Small Bang'). We also show
that, in a neighbourhood of the singularity in these solutions, the Higgs
sector does not have any symmetry breaking instantaneous vacuum state, and
hence then the Brout-Englert-Higgs mechanism does not work. The large scale
behaviour of the solutions is investigated numerically as well. In particular,
the numerical calculations indicate that there are singular solutions that
cannot be approximated by power series.
