The Central Singularity in Spherical Collapse

Details The Central Singularity in Spherical Collapse The Central Singularity in Spherical Collapse

2000-01-11

arxiv.org/abs/gr-qc/0001026v2

Phys.Rev.D62:044015,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages; revised and corrected with improved results

Scientific paper

10.1103/PhysRevD.62.044015

The gravitational strength of the central singularity in spherically symmetric space-times is investigated. Necessary conditions for the singularity to be gravitationally weak are derived and it is shown that these are violated in a wide variety of circumstances. These conditions allow conclusions to be drawn about the nature of the singularity without having to integrate the geodesic equations. In particular, any geodesic with a non-zero amount of angular momentum which impinges on the singularity terminates in a strong curvature singularity.

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