  The Einstein- Gauss- Bonnet (EGB) gravity is an important modification of the
Einstein theory of gravity and, for many gravitational phenomena, the Gauss-
Bonnet (GB) correction term leads to drastic differences. In this paper, we
study gravitational collapse in the $5$-dimensional EGB theory. We construct
the spherical marginally trapped surfaces and determine the evolution of
marginally trapped surfaces when the infalling matter admits a wide variety of
initial density distribution. We show that the location of black hole horizon
depends crucially on the initial density and velocity profile of the inflating
matter as well as on the GB coupling constant. A detailed comparison is made
with the results of Einstein's theory.
