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Gravitational collapse with non-vanishing tangential stresses II: a laboratory for cosmic censorship experiments

Giulio Magli
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Abstract

The general exact solution describing the dynamics of anisotropic elastic spheres supported only by tangential stresses is reduced to a quadrature using Ori's mass-area coordinates. This leads to the explicit construction of the root equation governing the nature of the central singularity. Using this equation, we formulate and motivate on physical grounds a conjecture on the nature of this singularity. The conjecture covers a large sector of the space of initial data; roughly speaking, it asserts that addition of a tangential stress cannot undress a covered dust singularity. The root equation also allows us to analyze the case of self-similar spacetimes and to get some insight on the role of stresses in deciding the nature of the singularities in this case.

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Giulio Magli. 1998-12-18. Gravitational collapse with non-vanishing tangential stresses II: a laboratory for cosmic censorship experiments. https://doi.org/10.1088/0264-9381%2F15%2F10%2F022

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