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New mathematical framework for spherical gravitational collapse

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Roberto Giambo1, Fabio Giannoni1, Giulio Magli2 and Paolo Piccione1,3

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LETTER TO THE EDITOR

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 the existence of singular null geodesics to the existence of regular curves which are supersolutions 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.


PACS

95.30.Sf Relativity and gravitation

04.20.Dw Singularities and cosmic censorship

04.20.Jb Exact solutions

97.60.Lf Black holes

04.70.-s Physics of black holes

MSC

83C75 Space-time singularities, cosmic censorship, etc.

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

83C15 Exact solutions

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 6 (21 March 2003)

Received 3 January 2003

Published 3 March 2003



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