  The influence of higher order (stringly inspired) curvature corrections to
the classical General Relativity spherically symmetric solution is studied. In
string gravity these curvature corrections have a special form and can provide
a singular contribution to the field equations because they generate higher
derivatives of metric functions multiplied by a small parameter. Analytically
and numerically it is shown that sometimes in 4D string gravity the
Schwarzschild solution is not recovered when the string coupling constant
vanishes and limited number of higher order curvature corrections is
considered.
