Spherical gravitational collapse in 4D Einstein–Gauss–Bonnet theory

In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined n→4d limit the Einstein–Gauss–Bonnet gravity. The leads to either black hole or massive naked singularity depending on time formation trapped surfaces. More precisely, horizon and its development is controlled by relative strengths Gauss–Bonnet coupling (λ) Misner–Sharp mass function F(r,t) collapsing sphere. We find that, if there no surfaces initial Cauchy hypersurface F(r,t)<2λ central naked. When inequality equalised reversed, always censored spacelike/timelike marginally surface topology S2×R, which eventually becomes null coincides with event at equilibrium. These conclusions are verified for wide class profiles admitting different velocity conditions. Hence, our result implies that 4d generically violates cosmic censorship conjuncture. Further implications violation from perspective visibility causal signals spacetime also discussed.