  In the present paper, we investigated the gravitational black-hole-hedgehog's
solution with magnetic field contribution in the framework of the f(R)--gravity
described by the Gravi-Weak unification model. Assuming the Multiple Point
Principle (MPP), we considered the existence of the two degenerate vacua of the
Universe: the first Electroweak (EW) vacuum with $v_1 \approx 246$ GeV ("true
vacuum"), and the second Planck scale ("false vacuum") with $v_2 \sim 10^{18}$
GeV. In these vacua, we investigated different topological defects. The main
aim of this paper is an investigation of the black-hole-hedgehog configurations
as defects of the "false vacuum". We have obtained the solution which
corresponds to a global monopole, that has been "swallowed" by the black-hole
with core mass $M_{BH}\approx 3.65\times 10^{18}\,\, {\rm{GeV}}$ and radius
$\delta \approx 6\cdot 10^{-21} {\rm{GeV}}^{-1}.$ We investigated the metric in
the vicinity of the black-hole-hedgehog and estimated its horizon radius:
$r_h\approx 1.14 \delta$. We have considered the phase transition from the
"false vacuum" to the "true vacuum" and confirmed the stability of the
EW--vacuum.
