Naked singularities and the Weyl Curvature Hypothesis

Details Naked singularities and the Weyl Curvature Hypothesis Naked singularities and the Weyl Curvature Hypothesis

1997-05-22

arxiv.org/abs/gr-qc/9705060v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex File, 11 pages. The essay (gr-qc/9705057) is based on some of the detailed calculations in the present paper

Scientific paper

We examine the growth of the Weyl curvature in two examples of naked singularity formation in spherical gravitational collapse - dust and the Vaidya spacetime. We find that the Weyl scalar diverges along outgoing radial null geodesics as they meet the naked singularity in the past. The implications of this result for the Weyl curvature hypothesis are discussed. We mention the possibility that although classical general relativity admits naked singularity solutions arising from gravitational collapse, the second law of thermodynamics could forbid their occurrence in nature. The method can also be used to compare the relative importance of initial data and that of the energy-momentum tensor in deciding the metric solution in any general case.

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