Role of Gauss-Bonnet corrections in a DGP brane gravitational collapse

An Oppenheimer-Snyder (OS)-type collapse is considered for a Dvali-Gabadadze-Porrati (DGP) brane, whereas a Gauss-Bonnet (GB) term is provided for the bulk. We study the combined effect of the DGP induced gravity plus the GB curvature, regarding any modification of the general relativistic OS dynamics. Our paper has a twofold objective. On the one hand, we investigate the nature of singularities that may arise at the collapse end state. It is shown that all dynamical scenarios for the contracting brane would end in one of the following cases, depending on conditions imposed: either a central shell-focusing singularity or what we designate as a ???sudden collapse singularity.??? On the other hand, we also study the deviations of the exterior spacetime from the standard Schwarzschild geometry, which emerges in our modified OS scenario. Our purpose is to investigate whether a black hole always forms regarding this brane world model. We find situations where a naked singularity emerges instead.

Automated summary

This study investigates the combined effect of DGP induced gravity and GB curvature on the OS dynamics. The results show that in this modified OS scenario, there may be central shell-focusing singularities or sudden collapse singularities. The study also explores the deviations of the exterior spacetime from the standard Schwarzschild geometry and finds the possibility of naked singularities.