The phenomenon of string spreading on the black hole horizon, as originally
discussed by Susskind, is considered in the exact curved Schwarzschild bac
kground. We consider an oscillating macroscopic string encircling the black
hole and contracting towards the horizon. We then compute the angular and
radial spreading of the string, as seen by a static observer at spatial inf
inity using fixed finite resolution time. Within our case study we find tha
t there is indeed a spreading of the string in the angular direction, such
that the string eventually covers the whole horizon. However, regarding the
radial direction, we find that Lorentz-contraction suppresses the radial s
tring spreading. [S0556-2821(99)03414-1].