  In this paper, we treat 4-dimensional Einstein-Gauss-Bonnet gravity as
general relativity with an effective stress-energy tensor. We will study the
modified Oppenheimer-Snyder-Datt model of the gravitational collapse of a star
in a 4-dimensional Einstein-Gauss-Bonnet black hole. The inside geometry of the
star is described by the spatially flat Friedmann-Robertson-Walker metric and
the matter is distributed uniformly without any pre-assumption about its
equation of state. The exterior Einstein-Gauss-Bonnet black hole is smoothly
matched to the interior geometry without the requirement of any thin shell.
This gives the energy density, pressure, and the equation of state of
collapsing matter. At the end, we study the time evolution of event and
apparent horizons.
