  Similarity in the structure of scattering amplitudes in Yang-Mills theories
and
  General Relativity led to the idea that graviton could be described as the
double copy of a vector gauge field. In this letter we discuss a realization of
this idea emerging directly from solutions of equations of General Relativity.
A general form of the energy momentum tensor for the electric field is derived
that leads to the metric tensor in terms of the double copy of a corresponding
gauge potential. We than use this general property to find the double copy of
spontaneously broken scalar electrodynamics. The result is a screened
Reissner-Nordstr\"om-like metric. When the horizon radius and the Compton
wavelength of the massive photon become comparable the black hole becomes a
quantum object. An exact solution of the horizon wave equation is found and the
corresponding energy spectrum is described. It turns out that highly excited
states show a characteristic string-like behavior.
