  We discuss possible application of classical double copy procedure to
construction of a generalisation of the Schwarzschild metric starting from an
$\alpha'$-corrected open string analogue of Coulomb solution. The latter is
approximated by a point-like charge solution of the Born-Infeld action, which
represents the open string effective action for an abelian vector field in the
limit when derivatives of the field strength are small. The Born-Infeld
solution has a regular electric field which is constant near the origin,
suggesting that corrections from derivative terms in the open string effective
action may be small there. The generalization of the Schwarschild metric
obtained by the double copy construction from the Born-Infeld solution looks
non-singular but the corresponding curvature invariants still blow up at $r=0$.
We discuss the origin of this singularity and comment on possible
generalisations.
