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

2012/07/14 by R. V. Saraykar, Ravindra V. Saraykar, Saraykar, Ravindra V. +2
Earth and Planetary Sciences · Physics and Astronomy · #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th) #Relativity and Gravitational Theory #astro-ph.HE #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1207.3469

6 pages, LaTex

arxiv created 2012/07/14 · openalex publication_date 2012/07/14 · arxiv updated 2012/07/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Related

• The Structure of Singularity in Spherical Inhomogeneous Dust Collapse
• Some comments on the nature of initial data in spherical collapse
• The Structure of Singularity in Gravitational Collapse
• Semi-classical dust collapse and regular black holes
• Globally Causal Solutions for Gravitational Collapse