Spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet Gravity

Details Spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet Gravity Spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet Gravity

2011-07-14

arxiv.org/abs/1107.2728v1

Mod.Phys.Lett.A26:2135-2147,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 4 figures and accepted by Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732311036449

We explore the gravitational collapse of a spherically symmetric dust cloud in the Einstein-Gauss-Bonnet gravity without a cosmological constant, and obtain three families of LTB-like solutions. It is shown that the Gauss-Bonnet term has a profound influence on the nature of singularities, and the global structure of space-time changes drastically from the analogous general relativistic case. Interestingly, the formation of a naked, massive and uncentral singularity, allowed in 5-dimensional space-time, is forbidden if $D\geq6$. Moreover, such singularity is gravitational strong and a serious counter example to CCH.

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