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

TL;DR

This paper derives five-dimensional quasispherical dust solutions in Einstein-Gauss-Bonnet gravity, showing collapse can lead to naked singularities and analyzing how quadratic curvature terms affect horizon formation.

Contribution

It generalizes 5D quasispherical solutions to Einstein-Gauss-Bonnet gravity and explores their collapse behavior and horizon formation.

Findings

Collapse can produce naked singularities violating cosmic censorship.

Gauss-Bonnet terms influence the location and formation of apparent horizons.

Solutions extend known general relativity results to higher curvature theories.

Abstract

We obtain a general five dimensional (5D) quasispherical solutions of irrotational dust in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms. These solutions are generalization, to Einstein-Gauss-Bonnet gravity, of the 5D quasispherical Szkeres like solutions in general relativity. It is found that the collapse proceed in the same way as in the analogous spherical collapse, i.e., there exists a 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.