Can accretion properties distinguish between a naked singularity, wormhole and black hole?

Abstract

We first advance a mathematical novelty that the three geometrically and topologically distinct objects mentioned in the title can be exactly obtained from the Jordan frame vacuum Brans I solution by a combination of coordinate transformations, trigonometric identities and complex Wick rotation. Next, we study their respective accretion properties using the Page-Thorne model which studies accretion properties exclusively for $r\ge r_{\text{ms}}$ (the minimally stable radius of particle orbits), while the radii of singularity/ throat/ horizon $r<r_{\text{ms}}$. Also, its Page-Thorne efficiency $\epsilon$ is found to increase with decreasing $r_{\text{ms}}$ and also yields $\epsilon =0.0572$ for Schwarzschild black hole (SBH). But in the singular limit $r\to r_s$ (radius of singularity), we have $\epsilon \to 1$ giving rise to $100\%$ efficiency in agreement with the efficiency of the naked singularity constructed in [10]. We show that the differential accretion luminosity $\frac{d{\mathcal{L}}_{\infty }}{d\ln r}$ of Buchdahl naked singularity (BNS) is always substantially larger than that of SBH, while Eddington luminosity at infinity $L_{\text{Edd}}^{\infty }$ for BNS could be arbitrarily large at $r\to r_s$ due to the scalar field $\varphi$ that is defined in $(r_s,\infty )$. It is concluded that BNS accretion profiles can still be higher than those of regular objects in the universe.

17 pages, 12 figures

References in corpus (69)

• Unified Schemes for Radio-Loud Active Galactic Nuclei
• Is the gravitational-wave ringdown a probe of the event horizon?
• The observational evidence for horizons: from echoes to precision gravitational-wave physics
• Tests for the existence of horizons through gravitational wave echoes
• Shadows of spherically symmetric black holes and naked singularities
• Gravitational Lensing by Wormholes
• Echoes of Kerr-like wormholes
• The Shadow of a Rotating Traversable Wormhole
• Thin accretion disks in stationary axisymmetric wormhole spacetimes
• On a class of stable, traversable Lorentzian wormholes in classical general relativity
• Fate of the first traversible wormhole: black-hole collapse or inflationary expansion
• Wormhole Shadows
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Gravitational Microlensing by the Ellis Wormhole
• Shadows of rotating wormholes
• Testing General Relativity with the Shadow Size of Sgr A*
• Janis-Newman-Winicour and Wyman solutions are the same
• Distinguishing black holes from naked singularities through their accretion disk properties
• Accretion disc onto a static non-baryonic compact object
• Deflection angle of light in an Ellis wormhole geometry
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Electromagnetic signatures of thin accretion disks in wormhole geometries
• Collapse to Black Holes in Brans-Dicke Theory: II. Comparison with General Relativity
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• Brans-Dicke wormholes in the Jordan and Einstein frames
• Can accretion disk properties observationally distinguish black holes from naked singularities?
• Wormholes versus black holes: quasinormal ringing at early and late times
• Strong gravitational lensing by wormholes
• Can accretion disk properties distinguish gravastars from black holes?
• Collapse to Black Holes in Brans-Dicke Theory: I. Horizon Boundary Conditions for Dynamical Spacetimes
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Illusions of general relativity in Brans-Dicke gravity
• Image of the Janis-Newman-Winicour naked singularity with a thin accretion disk
• Gravitational Lensing by Rotating Naked Singularities
• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Gravitational lensing by wormholes
• On the shadow of rotating traversable wormholes
• A novel gravitational lensing feature by wormholes
• Gravitational lensing by scalar-tensor wormholes and the energy conditions
• Where are all the gravastars? Limits upon the gravastar model from accreting black holes
• On the stability of scalar-vacuum space-times
• Broad K$\alpha$ iron line from accretion disks around traversable wormholes
• Ring-down gravitational waves and lensing observables: How far can a wormhole mimic those of a black hole?
• Shadow images of Kerr-like wormholes
• K$\alpha$ iron line profile from accretion disks around regular and singular exotic compact objects
• Deflection of light by black holes and massless wormholes in massive gravity
• Testing General Relativity with Accretion-Flow Imaging of Sgr A*
• The omega-tends-to-infinity limit of Brans-Dicke theory
• Wormhole Potentials and Throats from Quasi-Normal Modes
• The general relativistic Poynting-Robertson effect
• Efficiency of the Keplerian accretion in the Braneworld Kerr--Newman Spacetimes and mining instability of some naked singularity spacetimes
• On static spherically symmetric solutions of the vacuum Brans-Dicke theory
• Modified gravity black hole lensing observables in weak and strong field of gravity
• Accretion disks around the Gibbons-Maeda-Garfinkle-Horowitz-Strominger charged black holes
• Stability and instability of Ellis and phantom wormholes: Are there ghosts?
• Brans-Dicke theory: Jordan vs Einstein Frame
• Constraining the distribution of dark matter at the Galactic centre using the high-resolution Event Horizon Telescope
• Strong field lensing by Damour-Solodukhin wormhole
• omega dependence of the scalar field in Brans-Dicke theory
• Accretion disk around the rotating Damour-Solodukhin wormhole
• Brans-Dicke Wormhole Revisited
• New Features of Extended Wormhole Solutions in the Scalar Field Gravity Theories
• Lensing observables: Massless dyonic vis-à-vis Ellis wormhole
• Can massless wormholes mimic a Schwarzschild black hole in the strong field lensing?
• Two new approaches to the anomalous limit of Brans-Dicke to Einstein gravity
• A Nonsingular Brans Wormhole: An Analogue to Naked Black Holes
• Vacuum Brans-Dicke theory in the Jordan and Einstein frames: can they be distinguished by lensing?
• Ultrarelativistic boost with scalar field

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• Thin accretion disk luminosity and its image around rotating black holes in perfect fluid dark matter
• Constraining Wormhole Geometries using the Orbit of S2 Star and the Event Horizon Telescope
• Accretion Flow onto Ellis-Bronnikov Wormhole
• Microlensing effects of wormholes associated to blackhole spacetimes
• Accretion flows around exotic tidal wormholes I. Ray-tracing
• Comparing accretion disk profiles of Bogush-Galt'sov naked singularity and Kerr black hole
• Bianchi IX geometry and the Einstein-Maxwell theory
• Galactic microlensing by backreacted massless wormholes
• Damour-Solodukhin Wormhole as a Black Hole Mimicker: The Role of Observers' Location
• Photon surfaces, shadows and accretion disks in gravity with minimally coupled scalar field
• The effect of loop quantum gravitational rainbow functions on the formation of naked singularities
• Thin accretion disks around a Schwarzschild acoustic black hole
• Galactic microlensing by Lobo-Parsaei-Riazi phantom wormhole: Paczyński light curves and probabilistic features