  We consider a spherical gravitational collapse of inhomogeneous dust (and
null dust) in Einstein gravity with the Gauss-Bonnet (GB) combination of
quadratic curvature terms. It turns out that the presence of the coupling
constant of the GB terms $\alpha > 0$ completely changes the causal structure
of the singularities from the analogous general relativistic case. The
gravitational collapse of inhomogeneous dust in the five-dimensional GB
extended Einstein equations leads to formation of a massive, but weak, timelike
singularity which is forbidden in general relativity. The apparent horizons of
two different collapsing solutions show interesting mathematical similarity.
