Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse

Abstract

We investigate the occurrence and nature of naked singularity for the inhomogeneous gravitational collapse of Tolman-Bondi dust clouds.It is shown that the naked singularities form at the center of the collapsing cloud in a wide class of collapse models which includes the earlier cases considered by Eardley and Smarr and Christodoulou. This class also contains self-similar as well as non-self-similar models. The structure and strength of this singularity is examined and the question is investigated as to when a non-zero measure set of non-spacelike trajectories could be emitted from the singularity as opposed to isolated trajectories coming out. It is seen that the weak energy condition and positivity of energy density ensures that the families of non-spacelike trajectories come out of the singularity. The curvature strength of the naked singularity is examined which provides an important test for its physical significance and powerful curvature growth near the naked singularity is pointed out for several subclasses considered. The conditions are discussed for the naked singularity to be globally naked. Implications for the basic issue of the final fate of gravitational collapse are considered once the inhomogeneities in the matter distribution are taken into account. It is argued that a physical formulation for the cosmic censorship may be evolved which avoids the features above. Possibilities in this direction are discussed while indicating that the analysis presented here should be useful for any possible rigorous formulation of the cosmic censorship hypothesis.

41 pages, TIFR preprint TAP 9/92

References in corpus (1)

• The Structure of Naked Singularity in Self-similar Gravitational Collapse II

Cited by in corpus (238)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Gravitational Energy in Spherical Symmetry
• Spherically symmetric dissipative anisotropic fluids: A general study
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Recent developments in gravitational collapse and spacetime singularities
• Self-Similarity in General Relativity \endtitle
• On the role of density inhomogeneity and local anisotropy in the fate of spherical collapse
• Why do naked singularities form in gravitational collapse?
• Conformally flat anisotropic spheres in general relativity
• Distinguishing black holes from naked singularities through their accretion disk properties
• Appearance of Keplerian discs orbiting Kerr superspinars
• Equilibrium configurations from gravitational collapse
• Non-singular quantum-inspired gravitational collapse
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
• Classical collapse to black holes and quantum bounces: A review
• Quantum evaporation of a naked singularity
• The Final Fate of Spherical Inhomogeneous Dust Collapse
• Gravitational Collapse: The Story so far
• Eddington-inspired Born-Infeld gravity. Phenomenology of non-linear gravity-matter coupling
• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Testing the Cosmic Censorship Conjecture with point particles: the effect of radiation reaction and the self-force
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• On the Role of Initial Data in the Gravitational Collapse of Inhomogeneous Dust
• Who's Afraid of Naked Singularities?
• Initial data and the end state of spherically symmetric gravitational collapse
• Shadow of a Naked Singularity without Photon Sphere
• Tilted Lemaitre-Tolman-Bondi Spacetimes: Hydrodynamic and Thermodynamic Properties
• Spherical gravitational collapse in N-dimensions
• Final fate of the spherically symmetric collapse of a perfect fluid
• Effects of Gauss-Bonnet term on the final fate of gravitational collapse
• The final fate of spherical inhomogeneous dust collapse II: Initial data and causal structure of singularity
• Inhomogeneous Dust Collapse in 5D Einstein-Gauss-Bonnet Gravity
• Timelike geodesics in Naked Singularity and Black Hole Spacetimes
• Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case
• Dust collapse in 4D Einstein-Gauss-Bonnet gravity
• Naked strong curvature singularities in Szekeres space-times
• Thin accretion disk in the Simpson-Visser black-bounce and wormhole spacetimes
• Naked singularity formation in the collapse of a spherical cloud of counterrotating particles
• Naked singularities as particle accelerators
• Formation of a galaxy with a central black hole in the Lemaitre-Tolman model
• Structure Scalars In Charged Plane Symmetry
• Generic Cosmic Censorship Violation in anti de Sitter Space
• Effect of Inhomogeneity on Primordial Black Hole Formation in the Matter Dominated Era
• Naked Singularities as Particle Accelerators II
• Toward a Midisuperspace Quantization of LeMaitre-Tolman-Bondi Collapse Models
• Shadow of nulllike and timelike naked singularities without photon spheres
• High Energy Particle Collisions in Superspinning Kerr Geometry
• Can quantum mechanics fool the cosmic censor?
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Higher dimensional inhomogeneous dust collapse and cosmic censorship
• Optical effects related to Keplerian discs orbiting Kehagias-Sfetsos naked singularities
• Relativistic gravitational collapse in non-comoving coordinates: The post-quasistatic approximation
• The Role of Topological Photon Spheres in Constraining the Parameters of Black Holes
• A complete classification of spherically symmetric perfect fluid similarity solutions
• Spacetime Singularities
• Space-time inhomogeneity, anisotropy and gravitational collapse
• Gravitational Collapse and Cosmological Constant
• Cosmological Acceleration and Gravitational Collapse
• Singularity avoidance in quantum-inspired inhomogeneous dust collapse
• Shadow of a naked singularity
• Asymptotically FRW black holes
• Initial Data and the Final Fate of Inhomogeneous Dust Collapse
• Shadows and precession of orbits in rotating Janis-Newman-Winicour spacetime
• Strong curvature naked singularities in spherically symmetric perfect fluid collapse
• Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust
• Gravitational collapse of an isentropic perfect fluid with a linear equation of state
• Non-radial null geodesics in spherical dust collapse
• Black holes vs. naked singularities formation in collapsing Einstein's clusters
• Effects of Lovelock terms on the final fate of gravitational collapse: analysis in dimensionally continued gravity
• On the global visibility of singularity in quasi-spherical collapse
• Gravitational Waves around a Naked Singularity -- Odd-Parity Perturbation of Lemaitre-Tolman-Bondi Space-Time --
• Cosmic Censorship in Higher Dimensions
• Nakedness and curvature strength of shell-focusing singularity in the spherically symmetric space-time with vanishing radial pressure
• Strong gravitational lensing by a strongly naked null singularity
• Quasi-Spherical Gravitational Collapse in Any Dimension
• Gravitational collapse in pure Lovelock gravity in higher dimensions
• Imprints of the Janis-Newman-Winicour spacetime on observations related to shadow and accretion
• Exact spherically-symmetric inhomogeneous model with n perfect fluids
• Naked singularities and quantum gravity
• Towards an observational test of black hole versus naked singularity at the galactic center
• Naked Singularity Explosion
• Thin accretion discs around spherically symmetric configurations with nonlinear scalar fields
• The spectrum of endstates of gravitational collapse with tangential stresses
• Initial data and spherical dust collapse
• Gravitational collapse in asymptotically Anti-de Sitter/de Sitter backgrounds
• Naked Singularity Formation In f(R) Gravity
• Recent advances in cosmological singularities
• Spherical Dust Collapse in Higher Dimensions
• Genericity aspects in gravitational collapse to black holes and naked singularities
• Creating Naked Singularities and Negative Energy
• Closed Timelike Curves and "Effective" Superluminal Travel with Naked Line Singularities
• Global visibility of a strong curvature singularity in nonmarginally bound dust collapse
• Black hole formation in perfect fluid collapse
• Gravitational entropies in LTB dust models
• Geodesic structure of Janis-Newman-Winicour space-time
• Evolution of radial profiles in regular Lemaitre-Tolman-Bondi dust models
• Radial asymptotics of Lemaitre-Tolman-Bondi dust models
• A simple derivation of the naked singularity in spherical dust collapse
• Outflows from accreting super-spinars
• The spherical symmetry Black hole collapse in expanding universe
• Cosmic censorship and spherical gravitational collapse with tangential pressure
• Echoes from a singularity
• Invariant characterization of the growing and decaying density modes in LTB dust models
• Birth of timelike naked singularity
• Non-marginally bound inhomogeneous dust collapse in higher dimensional space-time
• A wormhole geometry from gravitational collapse
• Spherical and nonspherical models of primordial black hole formation: exact solutions
• Shell crossing in generalized Tolman-Bondi spacetimes
• Collapse and dispersal of a homogeneous spin fluid in Einstein-Cartan theory
• Photon redshift and the appearance of a naked singularity
• A classification of spherically symmetric self-similar dust models
• Comments on Cosmic Censorship in AdS/CFT
• Globally visible singularity in an astrophysical setup
• Can we observationally test the weak cosmic censorship conjecture?
• Naked singularities in Tolman-Bondi-de Sitter collapse
• Power, energy, and spectrum of a naked singularity explosion
• Light trajectory and shadow shape in the rotating naked singularity
• Causal Structure of Singularity in non-spherical Gravitational Collapse
• 3D simulations of the accretion process in Kerr space-time with arbitrary value of the spin parameter
• Conformal diagrams for the gravitational collapse of a spherical dust cloud
• Weighed scalar averaging in LTB dust models, part I: statistical fluctuations and gravitational entropy
• A Time-Like Naked Singularity
• Accretion disks around naked singularities
• How Does Naked Singularity Look?
• Hyperbolically symmetric versions of Lemaitre-Tolman-Bondi spacetimes
• Naked Singularity Formation In Brans-Dicke Theory
• Three parameter metrics in the presence of a scalar field in four and higher dimensions
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Energy extraction from Janis-Newman-Winicour naked singularity
• Observational distinction between black holes and naked singularities: the role of the redshift function
• A Non-static Quantum inspired Spacetime in $f(R)$ Gravity: Gravity's Rainbow
• Cosmic Censorship in Higher dimension II
• The Lemaitre-Schwarzschild Problem Revisited
• Instability of black hole formation in gravitational collapse
• Imaging ultra-compact objects with radiatively inefficient accretion flows
• Axially Symmetric Null dust Spacetime, Naked Singularity and Cosmic Time Machine
• Higher dimensional dust collapse with a cosmological constant
• Appearance of the central singularity in spherical collapse
• Strong curvature singularities in quasispherical asymptotically de Sitter dust collapse
• Quasispherical gravitational collapse in 5D Einstein-Gauss-Bonnet gravity
• Shell-crossings in Gravitational Collapse
• On trapped surface formation in gravitational collapse II
• On the global visibility of a singularity in spherically symmetric gravitational collapse
• Physical aspects of naked singularity explosion - How does a naked singularity explode? --
• Comparing thin accretion disk properties of naked singularities and black holes
• Scalar Field Collapse with an exponential potential
• Instability of black hole formation under small pressure perturbations
• Gravitational collapse in $(2+1)$-dimensional Eddington-inspired Born-Infeld gravity
• The structure of non-spacelike geodesics in dust collapse
• Null Geodesic Expansion in Spherical Gravitational Collapse
• Gravitational Collapse of the Shells with the Smeared Gravitational Source in Noncommutative Geometry
• The Weyl tensor and equilibrium configurations of self-gravitating fluids
• Spherical collapse of inhomogeneous dust cloud in the Lovelock theory
• Black Hole Solutions and Pressure Terms in Induced Gravity with Higgs Potential
• Gravitational collapse of quantum fields and Choptuik scaling
• New variables for the Lema\^ıtre-Tolman-Bondi dust solutions
• Spherically symmetric configurations in the quadratic $f(R)$ gravity
• Semiclassical Instability of the Cauchy Horizon in Self-Similar Collapse
• Null Fluid collapse in Rastall theory of gravity
• Gravitational Collapse of Baryonic and Dark matter
• All black holes in Lemaitre-Tolman-Bondi inhomogeneous dust collapse
• Sectors of spherical homothetic collapse
• Quantum Radiation from Black Holes and Naked Singularities in Spherical Dust Collapse
• Gravitational collapse from smooth initial data with vanishing radial pressure
• The role of the equation of state and the space-time dimension in spherical collapse
• Geodesic structure of generalized Vaidya spacetime through the K-essence
• Scalar-field Pressure in Induced Gravity with Higgs Potential and Dark Matter
• Vaidya Spacetime in the Diagonal Coordinates
• Black hole formation from the gravitational collapse of a non-spherical network of structures
• Strength of the naked singularity in critical collapse
• Odd Parity Perturbations of the Self-Similar LTB Spacetime
• Collapsing scenarios of K-essence generalized Vaidya spacetime under $f(\bar{R},\bar{T})$ gravity
• A Tolman-Bondi-Lemaitre Cell-Model for the Universe and Gravitational Collapse
• Spherical vacuum and scalar collapse for the Starobinsky R^2 model
• Repulsive gravity effects in horizon formation. Horizon remnants in naked singularities
• Gravitational collapse of charged dust cloud in the Lovelock gravity
• Naked singularities in higher dimensional inhomogeneous dust collapse
• Singularity resolution in gravitational collapse
• Spherically symmetric perfect fluid in area-radial coordinates
• Low Mass Naked Singularities from Dark Core Collapse
• Relativistic Gravitational Collapse of a Cylindrical Shell of Dust
• On maximal analytical extension of the Vaidya metric
• Relativistic time delay analysis of pulsar signals near ultra-compact objects
• Weak cosmic censorship in gravitational collapse with astrophysical parameter values
• Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations
• On the visibility of singularities in general relativity and modified gravity theories
• A study of different horizons in inhomogeneous LTB cosmological model
• A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole
• High-Speed Collapse of a Hollow Sphere of Type I Matter
• Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud
• Cylindrical symmetric, non-rotating and non-static or static black hole solutions and the naked singularities
• Newtonian Analysis of Gravitational Waves from Naked Singularity
• Exploring the cosmic censorship conjecture with a Gauss-Bonnet sector
• On Schwarzschild black hole singularity formation
• Energy emission from high curvature region and its backreation
• Cosmic censorship conjecture in some matching spherical collapsing metrics
• Strength and genericity of singularities in Tolman-Bondi-de Sitter collapse
• Exploration of a Singular Fluid Spacetime
• Hamiltonian formulation of dust cloud collapse
• Shear-free gravitational collapse is strongly censored
• Gravitational Collapse in Energy-momentum squared gravity: Nature of singularities
• Depletion of energy from Naked Singular regions during gravitational collapse
• Quantum vacuum effects on the final fate of a collapsing ball of dust
• High energy collision without fine tuning: Acceleration and multiple collisions of shells in a bound system
• Dressing a Naked Singularity: an Example
• Tipler Naked Singularities in $N$ Dimensions
• Naked singularity explosion in higher-dimensional dust collapse
• Violation of the Carter-Israel conjecture and its astrophysical implications
• Joshi--Malafarina--Narayan singularity in weak magnetic field
• Qualitative analysis of collapsing isotropic fluid spacetimes
• On Some Applications of the Sagnac Effect
• Spherical trapped surfaces in n-dimensional general relativity
• Noise Kernel for Reissner Nordstrom Metric: Results at Cauchy Horizon
• Accelerating FJNW Metric
• Can we see naked singularities?
• Black holes/naked singularities in four-dimensional non-static space-time and the energy-momentum distributions
• Mass inflation and curvature divergence near the central singularity in spherical collapse
• On the behaviour of non-radial null geodesics in self-similar Tolman-Bondi collapse
• Some applications of the Shapiro time delay
• Cauchy horizon stability in a collapsing spherical dust cloud. II: Energy bounds for test fields and odd-parity gravitational perturbations
• An Approach to Stability Analyses in General Relativity via Symplectic Geometry
• The infinite red-shift surfaces of the Kerr and Kerr-Newman solutions of the Einstein field equations
• Shadow Formation Conditions Beyond the Kerr Black Hole Paradigm
• On gravitational spherical collapse without spacetime singularity
• Structure of the thin disk in the background of a distorted naked singularity versus a distorted static black hole
• Kerr-de Sitter Black Holes: Quantum Aspects and Cosmic Censorship Conjecture
• Singularity Avoidance in Gravitational Collapse of an Inhomogeneous Fluid in Rastall Gravity
• Geodesic causality in Kerr spacetimes with $|a|\ge M$
• Violation of cosmic censorship in the gravitational collapse of a dust cloud in five dimension
• Astrophysical Black holes: An Explanation for the Galaxy Quenching
• Physical nature of the central singularity in spherical collapse
• Particle production rate for a dynamical system using the path integral approach
• Infeasibility of Graviton Detection as Cosmic Censorship
• Gravitational Collapse of an Inhomogeneous Fluid in Rastall Theory
• A Generalized Class of Taub-NUT-Scalar Metrics
• An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole
• Interior evolution of regular Schwarzschild black holes