Equilibrium configurations from gravitational collapse

Abstract

We develop here a new procedure within Einstein's theory of gravity to generate equilibrium configurations that result as the final state of gravitational collapse from regular initial conditions. As a simplification, we assume that the collapsing fluid is supported only by tangential pressure. We show that the equilibrium geometries generated by this method form a subset of static solutions to the Einstein equations, and that they can either be regular or develop a naked singularity at the center. When a singularity is present, there are key differences in the properties of stable circular orbits relative to those around a Schwarzschild black hole with the same mass. Therefore, if an accretion disk is present around such a naked singularity it could be observationally distinguished from a disk around a black hole.

13 pages, 3 figure. Replaced with published version, several changes made according to referee's advise

References in corpus (20)

• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Apparent shape of super-spinning black holes
• The Constant Inner-Disk Radius of LMC X-3: A Basis for Measuring Black Hole Spin
• The Spin of the Black Hole Microquasar XTE J1550-564 via the Continuum-Fitting and Fe-Line Methods
• Broad iron K-alpha emission lines as a diagnostic of black hole spin
• Three-Dimensional Simulations of Magnetized Thin Accretion Disks around Black Holes: Stress in the Plunging Region
• Circular motion of neutral test particles in Reissner-Nordström spacetime
• A Determination of the Spin of the Black Hole Primary in LMC X-1
• Can accretion disk properties observationally distinguish black holes from naked singularities?
• Measuring Black Hole Spin by the Continuum-Fitting Method: Effect of Deviations from the Novikov-Thorne Disc Model
• Destroying a near-extremal Kerr-Newman black hole
• Collision of an innermost stable circular orbit particle around a Kerr black hole
• Gravitational Lensing by Rotating Naked Singularities
• Spherical gravitational collapse in N-dimensions
• Eleven spherically symmetric constant density solutions with cosmological constant
• Spinning super-massive objects in galactic nuclei up to $a_{\ast }>1$
• Existence of naked singularities in Brans-Dicke theory of gravitation. An analytical and numerical study
• Instability of black hole formation in gravitational collapse
• Collapse and dispersal in massless scalar field models
• Spherical collapse of inhomogeneous dust cloud in the Lovelock theory

Cited by in corpus (95)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• First Sagittarius A* Event Horizon Telescope Results. VI: Testing the Black Hole Metric
• Shadows of spherically symmetric black holes and naked singularities
• Recent developments in gravitational collapse and spacetime singularities
• Distinguishing black holes from naked singularities through their accretion disk properties
• Non-singular quantum-inspired gravitational collapse
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• Image of the Janis-Newman-Winicour naked singularity with a thin accretion disk
• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Shadow of a Naked Singularity without Photon Sphere
• Can strong gravitational lensing distinguish naked singularities from black holes?
• K$\alpha$ iron line profile from accretion disks around regular and singular exotic compact objects
• Charged particle motion and electromagnetic field in $\gamma$ spacetime
• Collapsing shear-free perfect fluid spheres with heat flow
• Timelike geodesics in Naked Singularity and Black Hole Spacetimes
• Accretion disk luminosity for black holes surrounded by dark matter
• Shadow of nulllike and timelike naked singularities without photon spheres
• Optical effects related to Keplerian discs orbiting Kehagias-Sfetsos naked singularities
• The Role of Topological Photon Spheres in Constraining the Parameters of Black Holes
• Spacetime Singularities
• A model for a dark matter core at the galactic center
• Singularity avoidance in quantum-inspired inhomogeneous dust collapse
• Spin precession in a black hole and naked singularity spacetimes
• Shadows and precession of orbits in rotating Janis-Newman-Winicour spacetime
• Accretion disk luminosity for black holes surrounded by dark matter with tangential pressure
• Imprints of the Janis-Newman-Winicour spacetime on observations related to shadow and accretion
• Time Delay between Relativistic Images as a probe of Cosmic Censorship
• Perihelion Precession and Shadows near Blackholes and Naked Singularities
• Towards an observational test of black hole versus naked singularity at the galactic center
• The Galactic Center as a laboratory for theories of gravity and dark matter
• Recent advances in cosmological singularities
• Astrophysics of Bertrand Space-times
• Echoes from a singularity
• Fuzzy dark matter black holes and droplets
• Dark matter concentrations in galactic nuclei according to polytropic models
• Globally visible singularity in an astrophysical setup
• Einstein-Cartan gravitational collapse of a homogeneous Weyssenhoff fluid
• Light trajectory and shadow shape in the rotating naked singularity
• Possible Connection between Dark Matter and Supermassive Black Holes
• Study of Center of Mass Energy by Particles Collision in Some Black Holes
• Galactic Dark Matter and Bertrand Space-times
• Accretion disks around naked singularities
• Precession and Lense-Thirring effect of hairy Kerr spacetimes
• Regularising the JNW and JMN naked singularities
• Tidal Forces in Naked Singularity Backgrounds
• Shadows around the q-metric
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Shadow Geometry of Kerr Naked Singularities
• Toward General-Relativistic Magnetohydrodynamics Simulations in Stationary Non-Vacuum Spacetimes
• Energy extraction from Janis-Newman-Winicour naked singularity
• Imaging ultra-compact objects with radiatively inefficient accretion flows
• Constraining primordial black holes as a fraction of dark matter through accretion disk luminosity
• Trapped surfaces and nature of singularities in Lyra's geometry
• Comparing thin accretion disk properties of naked singularities and black holes
• Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow
• All black holes in Lemaitre-Tolman-Bondi inhomogeneous dust collapse
• Could Planck Star Remnants be Dark Matter?
• Compact objects from gravitational collapse: an analytical toy model
• Gravitational Collapse of Baryonic and Dark matter
• Near- and sub-solar-mass naked singularities and black holes from transmutation of white dwarfs
• Self-gravitating fluid systems and galactic dark matter
• Newtonian analogue of static general relativistic spacetimes: An extension to naked singularities
• Dark halo microphysics and massive black hole scaling relations in galaxies
• Distinguishing between Kerr and rotating JNW space-times via frame dragging and tidal effects
• Gravitational collapse of Hagedorn fluids
• Low Mass Naked Singularities from Dark Core Collapse
• Relativistic time delay analysis of pulsar signals near ultra-compact objects
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Spin precession frequencies of a test gyroscope around a naked singularity and quasi-periodic oscillations
• Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
• Observational properties of rigidly rotating dust configurations
• Generating exact polytropes in non-conservative unimodular geometries
• M theory Branes : U duality properties and a class of new Static Solutions
• Stability analysis of (a class of) anisotropic spacetimes
• Joshi--Malafarina--Narayan singularity in weak magnetic field
• Stabilizing Spherical Energy Shells with Angular Momentum in Gravitational Backgrounds
• Testing black hole space-times with the S2 star orbit: a Bayesian comparison
• Tipler Naked Singularities in $N$ Dimensions
• End equilibrium state of a spherical gravitational collapse in the presence of matter and scalar field
• Spin Precession in magnetized Kerr spacetime
• Shadow geometry of Kerr MOG naked singularity and analysis of accretion disk luminosity
• Black holes/naked singularities in four-dimensional non-static space-time and the energy-momentum distributions
• Game Theory in Cosmology
• Non-minimal coupling of scalar fields in the dark sector and generalization of the top-hat collapse
• Shadow Formation Conditions Beyond the Kerr Black Hole Paradigm
• An Approach to Stability Analyses in General Relativity via Symplectic Geometry
• Energy conditions in static, spherically symmetric spacetimes and effective geometries
• Structure of the thin disk in the background of a distorted naked singularity versus a distorted static black hole
• Nakedly singular counterpart of Schwarzschild's incompressible star. A barotropic continuity condition in the center
• Gaussian Planck Relics are Ruled-Out as Dark Matter by LIGO
• Einstein Frame Regularization of the JNW Spacetime: From Brans-Dicke Singularity to Ellis Wormhole
• Asymptotic Freedom and Vacuum Polarization Determine the Astrophysical End State of Relativistic Gravitational Collapse: Quark--Gluon Plasma Star Instead of Black Hole
• Astrophysical Black holes: An Explanation for the Galaxy Quenching
• Singularity Avoidance in Gravitational Collapse of an Inhomogeneous Fluid in Rastall Gravity
• Scattering of massive particles from black holes and naked singularities