Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity

Details Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity

2010-02-17

arxiv.org/abs/1002.3245v1

Physical Review D 81, 024010 (2010)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 Latex Pages, 2 EPS figures

Scientific paper

We consider a Lemaitre - Tolman - Bondi type space-time in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms, and present exact solution in closed form. It turns out that the presence of the coupling constant of the Gauss-Bonnet terms alpha > 0 completely changes the causal structure of the singularities from the analogous general relativistic case. The gravitational collapse of inhomogeneous dust in the five-dimensional Gauss-Bonnet extended Einstein equations leads to formation of a massive, but weak, timelike singularity which is forbidden in general relativity. Interestingly, this is a counterexample to three conjecture viz. cosmic censorship conjecture, hoop conjecture and Seifert's conjecture.

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