New mathematical framework for spherical gravitational collapse
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A theorem, giving necessary and sufficient condition for naked singularity formation in spherically symmetric non static spacetimes under hypotheses of physical acceptability, is formulated and proved. The theorem relates existence of singular null geodesics to existence of regular curves which are super-solutions of the radial null geodesic equation, and allows us to treat all the known examples of naked singularities from a unified viewpoint. New examples are also found using this approach, and perspectives are discussed.
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Forward citations
Cited by 2 Pith papers
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Photon surfaces extension in general spherical dust collapse
In general LTB dust collapse the photon surface is a null hypersurface generated by outgoing radial null geodesics that reaches the central singularity if and only if the singularity is naked.
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$C^0$-inextendibility of a class of warped-product black hole spacetimes
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.
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