Instability of black hole formation in gravitational collapse

Abstract

We consider here the classic scenario given by Oppenheimer, Snyder, and Datt, for the gravitational collapse of a massive matter cloud, and examine its stability under the introduction of small tangential stresses. We show, by offering an explicit class of physically valid tangential stress perturbations, that an introduction of tangential pressure, however small, can qualitatively change the final fate of collapse from a black hole final state to a naked singularity. This shows instability of black hole formation in collapse and sheds important light on the nature of cosmic censorship hypothesis and its possible formulations. The key effect of these perturbations is to alter the trapped surface formation pattern within the collapsing cloud and the apparent horizon structure. This allows the singularity to be visible, and implications are discussed.

5 pages

References in corpus (19)

• Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
• Why do naked singularities form in gravitational collapse?
• Gravitational Collapse: The Story so far
• Physical Processes in Naked Singularity Formation
• On the Occurrence of Naked Singularity in Spherically Symmetric Gravitational Collapse
• Spherical gravitational collapse in N-dimensions
• The final fate of spherical inhomogeneous dust collapse II: Initial data and causal structure of singularity
• Gravitational collapse with non-vanishing tangential stresses II: a laboratory for cosmic censorship experiments
• Naked singularity formation in the collapse of a spherical cloud of counterrotating particles
• Nature of singularities in gravitational collapse
• New solutions of Einstein equations in spherical symmetry: the Cosmic Censor to the court
• Timelike and null focusing singularities in spherical symmetry: a solution to the cosmological horizon problem and a challenge to the cosmic censorship hypothesis
• What role pressures play to determine the final end-state of gravitational collapse?
• Black holes vs. naked singularities formation in collapsing Einstein's clusters
• Nakedness and curvature strength of shell-focusing singularity in the spherically symmetric space-time with vanishing radial pressure
• The spectrum of endstates of gravitational collapse with tangential stresses
• Birth of timelike naked singularity
• Role of initial data in spherical collapse
• Gravitational collapse from smooth initial data with vanishing radial pressure

Cited by in corpus (11)

• Recent developments in gravitational collapse and spacetime singularities
• Equilibrium configurations from gravitational collapse
• Probing the space-time geometry around black hole candidates with the resonance models for high-frequency QPOs and comparison with the continuum-fitting method
• Testing the Kerr black hole hypothesis
• Direct imaging rapidly-rotating non-Kerr black holes
• Effects of Electromagnetic Field on the Dynamical Instability of Cylindrical Collapse
• Can we constrain the maximum value for the spin parameter of the super-massive objects in galactic nuclei without knowing their actual nature?
• Genericity aspects in gravitational collapse to black holes and naked singularities
• Instability of black hole formation under small pressure perturbations
• All black holes in Lemaitre-Tolman-Bondi inhomogeneous dust collapse
• An Approach to Stability Analyses in General Relativity via Symplectic Geometry