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arxiv: 1207.3469 · v1 · pith:RHFGGSJJnew · submitted 2012-07-14 · 🌀 gr-qc · astro-ph.HE· hep-th

A Note on Genericity and Stability of Black Holes and Naked Singularities in Dust Collapse

classification 🌀 gr-qc astro-ph.HEhep-th
keywords collapsegenericitynakedsingularitiesblackdefinitiondustdynamical
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We comment here on the results in Ref [4] that showed naked singularities in dynamical gravitational collapse of inhomogeneous dust to be stable but non-generic. The definition of genericity used there is reconsidered. We point out that genericity in terms of an open set, with a positive measure defined suitably on the space of initial data, is physically more appropriate compared to the dynamical systems theory definition used in [4] which makes both black holes and naked singularities non-generic as collapse outcomes.

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