The final fate of spherical inhomogeneous dust collapse II: Initial data and causal structure of singularity

Abstract

Further to results in [9], pointing out the role of initial density and velocity distributions towards determining the final outcome of spherical dust collapse, the causal structure of singularity is examined here in terms of evolution of the apparent horizon. We also bring out several related features which throw some useful light towards understanding the nature of this singularity, including the behaviour of geodesic families coming out and some aspects related to the stability of singularity.

Latex file, uses epsf.sty, 15 pages and 3 eps figures. Paragraph on role of smooth functions rewritten. Four references added. To appear in Classical & Quantum Gravity

References in corpus (3)

• Gravitational Energy in Spherical Symmetry
• The Final Fate of Spherical Inhomogeneous Dust Collapse
• On the Role of Initial Data in the Gravitational Collapse of Inhomogeneous Dust

Cited by in corpus (61)

• Critical phenomena in gravitational collapse (Physics Reports)
• Can accretion disk properties observationally distinguish black holes from naked singularities?
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Final fate of the spherically symmetric collapse of a perfect fluid
• Effects of Gauss-Bonnet term on the final fate of gravitational collapse
• Critical phenomena in gravitational collapse - Living Reviews
• Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
• Gravitational collapse with non-vanishing tangential stresses II: a laboratory for cosmic censorship experiments
• Timelike geodesics in Naked Singularity and Black Hole Spacetimes
• Gravitational collapse of a Hagedorn fluid in Vaidya geometry
• Naked singularity formation in the collapse of a spherical cloud of counterrotating particles
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Null fluid collapse in brane world models
• Negative Pressure and Naked Singularities in Spherical Gravitational Collapse
• Gravitational Collapse and Cosmological Constant
• Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust
• Black holes vs. naked singularities formation in collapsing Einstein's clusters
• Non-radial null geodesics in spherical dust collapse
• Complete solutions to the metric of spherically collapsing dust in an expanding spacetime with a cosmological constant
• Effects of Lovelock terms on the final fate of gravitational collapse: analysis in dimensionally continued gravity
• Gravitational Waves around a Naked Singularity -- Odd-Parity Perturbation of Lemaitre-Tolman-Bondi Space-Time --
• Nakedness and curvature strength of shell-focusing singularity in the spherically symmetric space-time with vanishing radial pressure
• Gravitational collapse in pure Lovelock gravity in higher dimensions
• Towards an observational test of black hole versus naked singularity at the galactic center
• Naked Singularity Explosion
• Spherical Dust Collapse in Higher Dimensions
• Global visibility of a strong curvature singularity in nonmarginally bound dust collapse
• A simple derivation of the naked singularity in spherical dust collapse
• Quasi-local photon surfaces in general spherically symmetric spacetimes
• Spherical and nonspherical models of primordial black hole formation: exact solutions
• Birth of timelike naked singularity
• Power, energy, and spectrum of a naked singularity explosion
• Naked singularities in Tolman-Bondi-de Sitter collapse
• How Does Naked Singularity Look?
• Absence of trapped surfaces and singularities in cylindrical collapse
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• Instability of black hole formation in gravitational collapse
• Quasispherical gravitational collapse in 5D Einstein-Gauss-Bonnet gravity
• Comparing thin accretion disk properties of naked singularities and black holes
• Trapped surfaces and nature of singularities in Lyra's geometry
• On the global visibility of a singularity in spherically symmetric gravitational collapse
• New variables for the Lema\^ıtre-Tolman-Bondi dust solutions
• Spherical collapse of inhomogeneous dust cloud in the Lovelock theory
• Quantum Radiation from Black Holes and Naked Singularities in Spherical Dust Collapse
• Sufficient condition for Blackhole formation in spherical gravitational collapse
• Gravitational collapse of charged dust cloud in the Lovelock gravity
• Particle creation in (2+1) circular dust collapse
• Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud
• A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter
• Newtonian Analysis of Gravitational Waves from Naked Singularity
• Depletion of energy from Naked Singular regions during gravitational collapse
• Electromagnetic radiation due to naked singularity formation in self-similar gravitational collapse
• Can we see naked singularities?
• Spherical trapped surfaces in n-dimensional general relativity
• Accelerating FJNW Metric
• Gravitational Collapse of an Inhomogeneous Fluid in Rastall Theory
• Violation of cosmic censorship in the gravitational collapse of a dust cloud in five dimension
• Asymptotic behavior of dynamical variables and naked singularity formation in spherically symmetric gravitational collapse
• Singularity Avoidance in Gravitational Collapse of an Inhomogeneous Fluid in Rastall Gravity