Final Fate of Higher-Dimensional Spherical Dust Collapse in Einstein-Gauss Gravity

Details Final Fate of Higher-Dimensional Spherical Dust Collapse in Einstein-Gauss Gravity Final Fate of Higher-Dimensional Spherical Dust Collapse in Einstein-Gauss Gravity

Sep 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1320m&link_type=abstract

"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an

Physics

Scientific paper

We study the n(≥ 5)-dimensional spherically symmetric gravitational collapse of dust in Einstein-Gauss-Bonnet gravity. The solution having a general relativistic limit is only considered. The whole picture and the final fate of the gravitational collapse differ greatly between the cases with n = 5 and n ≥ 6. We show that naked singularities are massless for n ≥ 6, while massive naked singularities are possible for n = 5. In the inhomogeneous collapse with smooth initial data, the strong cosmic censorship hypothesis holds for n ≥ 10 and for n = 9 depending on the parameters in the initial data, while a naked singularity is always formed for 5 ≤ n ≤ 8. This paper is based on Ref. 1.

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