  The self-gravitating Higgs field of a scalar charge is studied for the case
of an asymmetric scalar doublet containing, along with a canonical and a
phantom component. It is shown that in the zero and first approximation of the
smallness of the canonical and phantom scalar charges, the gravitational field
of the scalar charge is described by the Schwarzschild-de Sitter metric with a
cosmological constant determined by the stable equilibrium point - the vacuum
potential of the canonical Higgs field and the zero value of the scalar
potential. An equation for the perturbation of the stable value of the
potential is obtained and studied, and the asymptotic behavior in the near and
far zones is found. The averaging of microscopic oscillations of the scalar
field is carried out and it is shown that the sign of the contribution of
microscopic oscillations to the macroscopic energy of the scalar field is
completely determined by the values of the fundamental constants of the Higgs
potential of the asymmetric scalar doublet. Particular attention is paid to the
case when the contribution of oscillations to the macroscopic energy and
pressure densities is strictly equal to zero. Possible applications of the
obtained solutions are discussed.
  Keywords: scalarly charged black hole, asymmetric scalar doublet, scalar
Higgs field, asymptotic behavior, macroscopic characteristics, doublet
orientation.
