Quasispherical gravitational collapse in 5D Einstein-Gauss-Bonnet gravity

We obtain a general five-dimensional quasispherical collapsing solutions of irrotational dust in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms. These solutions are a generalization, to Einstein-Gauss-Bonnet gravity, of the five-dimensional quasispherical Szkeres like collapsing solutions in general relativity. It is found that the collapse proceeds in the same way as in the analogous spherical collapse, i.e., there exists regular initial data such that the collapse proceed to form naked singularities violating cosmic censorship conjecture. The effect of Gauss-Bonnet quadratic curvature terms on the formation and locations of the apparent horizon is deduced.

Figure 1

A two-dimensional picture of the 5D-QSZ-EGB collapse showing $t=t_c(r)-t_{\mathrm{AH}}(r)$ versus $r$ for the suitable values of parameters. The continuous curves used when density has no angular dependence and when density has angular dependence dotted curves are used.