Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
arXiv:1002.3245 · doi:10.1103/PhysRevD.81.024010
Abstract
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.
8 Latex Pages, 2 EPS figures
References in corpus (5)
- Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
- Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
- Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
- Radiating black hole solutions in arbitrary dimensions
- Horizons of radiating black holes in Einstein gauss-bonnet gravity
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