A Note on Genericity and Stability of Black Holes and Naked Singularities in Dust Collapse
R. V. Saraykar, Pankaj S. Joshi
Abstract
Open-access reader
R. V. Saraykar, Pankaj S. Joshi
Abstract
Open-access reader
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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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.
Key concepts: Naked singularity, Gravitational singularity, Gravitational collapse, Space (punctuation), Measure (data warehouse), Stability (learning theory), Physics, Point (geometry)