Geometry and topology of singularities in spherical dust collapse

Details Geometry and topology of singularities in spherical dust collapse Geometry and topology of singularities in spherical dust collapse

2002-03-22

arxiv.org/abs/gr-qc/0203078v1

Class.Quant.Grav.19:2587-2606,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages. To appear in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/19/10/305

We derive some more results on the nature of the singularities arising in the collapse of inhomogeneous dust spheres. (i) It is shown that there are future-pointing radial and non-radial time-like geodesics emerging from the singularity if and only if there are future-pointing radial null geodesics emerging from the singularity. (ii) Limits of various space-time invariants and other useful quantities (relating to Thorne's point-cigar-barrel-pancake classification and to isotropy/entropy measures) are studied in the approach to the singularity. (iii) The topology of the singularity is studied from the point of view of ideal boundary structure. In each case, the different nature of the visible and censored region of the singularity is emphasized.

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