  We consider the possibility of describing the Higgs effect in unified
theories without the Higgs potential in the presence of the Einstein gravity
with the conformal gravity-scalar coupling under the assumption of homogeneous
matter distribution.
  The scalar field values can be found from the Friedmann equations for the
homogeneous Universe. The considered cosmological mechanism solves the vacuum
density problem (we got $\rho_\phi^{Cosmic}=10^{-34}\rho_{cr}$ instead of
$\rho_\phi^{Higgs}=10^{54}\rho_{cr}$),and exludes the monopole creation and the
domain walls.
