On the gravitational collapse in 4-dimensional Einstein–Gauss–Bonnet gravity

Abstract

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.