Structure of radial null geodesics in higher dimensional dust collapse

Details Structure of radial null geodesics in higher dimensional dust collapse Structure of radial null geodesics in higher dimensional dust collapse

Jan 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..67b4017p&link_type=abstract

Physical Review D, vol. 67, Issue 2, id. 024017

Physics

8

Quantum Aspects Of Black Holes, Evaporation, Thermodynamics, Fundamental Problems And General Formalism, Classical Black Holes

Scientific paper

We investigate here the occurrence and nature of a naked singularity for the inhomogeneous gravitational collapse of higher dimensional Tolman-Bondi dust clouds. The final state of collapse, a black hole or naked singularity, turns out to depend on the order of the first nonvanishing derivative of the density at the center. The study of the collapse along radial null geodesics seems to suggest that higher dimensions (D⩾6) respect the CCH, if one chooses a smooth analytic density profile as initial data.

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