Tuesday, July 17, 2012

1207.3469 (Ravindra V. Saraykar et al.)

A Note on Genericity and Stability of Black Holes and Naked
Singularities in Dust Collapse
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Ravindra V. Saraykar, Pankaj S. Joshi
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.
View original: http://arxiv.org/abs/1207.3469

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