Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit

Abstract

A Simpson-Visser spacetime has two nonnegative parameters $a$ and $m$ and its metric is correspond with (i) a Schwarzschild metric for $a=0$ and $m\ne 0$, (ii) a regular black hole metric for $a<2m$, (iii) a one-way traversable wormhole metric for $a=2m$, (vi) a two-way traversable wormhole metric for $a>2m$, and (v) an Ellis-Bronnikov wormhole metric for $a\ne 0$ and $m=0$. The spacetime is one of the most useful spacetimes for the purpose of comprehensively understanding gravitational lensing of light rays reflected by a photon sphere of black holes and wormholes. We have investigated gravitational lensing in the Simpson-Visser spacetime in a strong deflection limit in all the nonnegative parameters of $a$ and $m$. In a case of $a=3m$, two photon spheres and an antiphoton sphere at the throat degenerate into a marginally unstable photon sphere. The deflection angle of the light rays reflected by the marginally unstable photon sphere at the throat diverges nonlogarithmically in the strong deflection limit.

arXiv comment13 pages, 6 figures, minor correction, references added, accepted for publication in Physical Review D

References in corpus (91)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Schwarzschild black hole lensing
• Is the gravitational-wave ringdown a probe of the event horizon?
• Gravitational lensing in the strong field limit
• The geometry of photon surfaces
• Relativistic images of Schwarzschild black hole lensing
• Strong field limit of black hole gravitational lensing
• Light ring stability in ultra-compact objects
• Black-bounce to traversable wormhole
• Reissner-Nordstrom black hole lensing
• Gravitational Lensing by Black Holes
• Light rings as observational evidence for event horizons: long-lived modes, ergoregions and nonlinear instabilities of ultracompact objects
• Spacetime perspective of Schwarzschild lensing
• On the exact gravitational lens equation in spherically symmetric and static spacetimes
• Wormholes as Black Hole Foils
• Gravitational Lensing by Wormholes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Wormhole Shadows
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Gravitational Microlensing by the Ellis Wormhole
• Fundamental photon orbits: black hole shadows and spacetime instabilities
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Slowly Decaying Waves on Spherically Symmetric Spacetimes and an Instability of Ultracompact Neutron Stars
• Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
• 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
• Kerr black hole lensing for generic observers in the strong deflection limit
• A comparison of approximate gravitational lens equations and a proposal for an improved new one
• Strong deflection limit of black hole gravitational lensing with arbitrary source distances
• Strong gravitational lensing by wormholes
• Strong field limit analysis of gravitational retro-lensing
• Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity
• Light curves of light rays passing through a wormhole
• Gravitational lensing by wormholes
• Astrometric Image Centroid Displacements due to Gravitational Microlensing by the Ellis Wormhole
• Photon Spheres and Sonic Horizons in Black Holes from Supergravity and Other Theories
• A novel gravitational lensing feature by wormholes
• Brane surgery: energy conditions, traversable wormholes, and voids
• The Application of Weierstrass elliptic functions to Schwarzschild Null Geodesics
• Unstable circular null geodesics of static spherically symmetric black holes, Regge poles and quasinormal frequencies
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Visual Distortions Near a Neutron Star and Black Hole
• Reflection-asymmetric wormholes and their double shadows
• Upper bound on the radii of black-hole photonspheres
• Analytical approach to strong gravitational lensing from ultracompact objects
• Ring-down gravitational waves and lensing observables: How far can a wormhole mimic those of a black hole?
• Gravitational lensing in spherically symmetric static spacetimes with centrifugal force reversal
• Observational Upper Bound on the Cosmic Abundances of Negative-mass Compact Objects and Ellis Wormholes from the Sloan Digital Sky Survey Quasar Lens Search
• Gravitational Lensing by Black Holes: a comprehensive treatment and the case of the star S2
• Weak deflection angle of black-bounce traversable wormholes using Gauss-Bonnet theorem in the dark matter medium
• Visualizing Interstellar's Wormhole
• Observational signatures of wormholes with thin accretion disks
• Wave Effect in Gravitational Lensing by the Ellis Wormhole
• Gravitational lensing shear by an exotic lens object with negative convergence or negative mass
• Retrolensing by a charged black hole
• Spherical steady accretion flows -- dependence on the cosmological constant, exact isothermal solutions and applications to cosmology
• Retrolensing by a wormhole at deflection angles $\pi$ and $3\pi$
• Signed magnification sums for general spherical lenses
• Aspherical Photon and Anti-Photon Surfaces
• Radial accretion flows on static spherically symmetric black holes
• On Relativistic Corrections to Microlensing Effects: Applications to the Galactic Black Hole
• Extension of photon surfaces and their area: Static and stationary spacetimes
• Area bound for a surface in a strong gravity region
• Relationship between High-Energy Absorption Cross Section and Strong Gravitational Lensing for Black Hole
• Deflection Angle of Light by Wormholes using the Gauss-Bonnet Theorem
• The weakly perturbed Schwarzschild lens in the strong deflection limit
• Wormhole Shadows in Rotating Dust
• Extended source effect on microlensing light curves by an Ellis wormhole
• Wave Optics in Spacetimes with Compact Gravitating Object
• Transversely trapping surfaces: Dynamical version
• A Note on Geodesics in Hayward Metric
• Completing characterization of photon orbits in Kerr and Kerr-Newman metrics
• Deflection angle of a light ray reflected by a general marginally unstable photon sphere in a strong deflection limit
• Strong gravitational lensing and black hole quasinormal modes: Towards a semiclassical unified description
• Nonlogarithmic divergence of a deflection angle by a marginally unstable photon sphere of the Damour-Solodukhin wormhole in a strong deflection limit
• Strong gravitational lensing by a strongly naked null singularity
• Negative time delay of light by a gravitational concave lens
• Stability of null orbits on photon spheres and photon surfaces
• Photon trapping in static axially symmetric spacetime
• Photon surfaces as pure tension shells: Uniqueness of thin shell wormholes
• Buchdahl-like transformations for perfect fluid spheres
• Static spacetimes haunted by a phantom scalar field: classification and global structure in the massless case
• The correspondence between sonic points of ideal photon gas accretion and photon spheres
• How does a collapsing star look?
• Caustics of $1/r^n$ binary gravitational lenses: from galactic haloes to exotic matter
• Rotating accretion flows in $D$ dimensions: sonic points, critical points and photon spheres
• Photon surfaces in spherically, planar and hyperbolically symmetric spacetimes of D-dimensions: Sonic point/photon sphere correspondence
• Formation of dynamically transversely trapping surfaces and the stretched hoop conjecture

Cited by in corpus (70)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Field sources for Simpson-Visser space-times
• Strong gravitational lensing by rotating Simpson--Visser black holes
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• Thin accretion disk in the Simpson-Visser black-bounce and wormhole spacetimes
• Analytical study of higher-order ring images of accretion disk around black hole
• On black bounces, wormholes and partly phantom scalar fields
• Source of black bounces in general relativity
• Black hole surrounded by the pseudo-isothermal dark matter halo
• Retrolensing by two photon spheres of a black-bounce spacetime
• Shape of higher-order images of equatorial emission rings around a Schwarzschild black hole: Analytical description with polar curves
• A review on analytical studies in Gravitational Lensing
• Gravitational Lensing Phenomena of Ellis-Bronnikov-Morris-Thorne Wormhole with Global Monopole and Cosmic String
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Gravitational lensing by a black hole in effective loop quantum gravity
• Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity
• Gravitational lensing by a photon sphere in a Reissner-Nordström naked singularity spacetime in strong deflection limits
• On black bounce space-times in non-linear electrodynamics
• AdS-Taub-NUT spacetimes and exact black bounces with scalar hair
• Linearization stability of reflection-asymmetric thin-shell wormholes with double shadows
• Black bounces in conformal Killing gravity
• Echoes from Asymmetric Wormholes and Black Bounce
• Cylindrical black bounces and their field sources
• Gravitational lens effect of a holonomy corrected Schwarzschild black hole
• Constraining spherically symmetric metrics by the gap between photon rings
• Rotating black hole mimicker surrounded by the string cloud
• Disformal Transition of a Black Hole to a Wormhole in Scalar-Tensor Horndeski Theory
• Lifetime of scalar cloud formation around a rotating regular black hole
• Trapping Horizons of the Evolving Charged Wormhole and Black Bounce
• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• Geodesics motion of test particles around Schwarzschild-Klinkhamer wormhole with topological defects and gravitational lensing
• Black bounces in Cotton gravity
• Evaporation of a Kerr-black-bounce by emission of scalar particles
• Scalar scattering by black holes and wormholes
• Slice-reducible conformal Killing tensors, photon surfaces and shadows
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Gravitational lensing by a Bronnikov-Kim wormhole under a weak-field approximation and in a strong deflection limit
• Affine perturbation series of the deflection angle of a ray near the photon sphere of a Reissner-Nordström black hole
• Source of black bounces in Rastall gravity
• Orbits around a black bounce spacetime
• Retrolensing by light rays slightly inside and outside of a photon sphere around a Reissner-Nordström naked singularity
• Probing the black holes in a dark matter halo of M87 using gravitational wave echoes
• Magnetically charged black-bounce solution via nonlinear electrodynamics in a k-essence theory
• Gravitational lensing in a space-time with cosmic string within the Eddington-inspired Born-Infeld gravity
• Shadows and photon spheres in static and rotating traversable wormholes
• Gravitational lensing by charged black hole with global monopole in the strong field limit
• Arbitrary static, spherically symmetric space-times as solutions of scalar-tensor gravity
• Circular light orbits of a general, static, and spherical symmetrical wormhole with $Z_2$ symmetry
• Tidal Stretching and Compression in Black Bounce Backgrounds
• Gravitational lensing in holonomy corrected spherically symmetric black holes with phantom global monopoles
• Shadows and optical appearance of black bounces illuminated by a thin accretion disk
• Dyonic regular black bounce solutions in General Relativity
• Constraining the rotating Simpson-Visser spacetime from the observed quasi-periodic oscillations in black holes
• Strong gravitational lensing by a Reissner-Nordström naked singularity with a marginally unstable photon sphere
• Gravitational memory effects of black bounces and a traversable wormhole
• Gravitational lensing by two photon spheres in a black-bounce spacetime in strong deflection limits
• Exact plane symmetric black bounce with a perfect-fluid exterior obeying a linear equation of state
• Echoes and quasinormal modes of asymmetric black bounces
• Constraints on the $\gamma$-parameter for the vacuum solution of Cotton gravity with geodesics and shadows
• Generalized black-bounces solutions in f(R) gravity and their field sources
• Three dimensional black bounces in $f(R)$ gravity
• Light propagation and quasinormal modes of a topologically charged Schwarzschild-Klinkhamer wormhole
• Thermodynamically massless Simpson-Visser black holes
• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole
• Sources of matter for wormholes in a k-essence theory
• LQG inspired spacetimes as solutions of the Einstein equations
• Angular Location of the $n^{th}$ Einstein Ring at large $n$
• Investigating the effects of gravitational lensing by Hu-Sawicki $\mathbf{f}(\mathbf{R})$ gravity black holes
• Bardeen-Kiselev black hole with cosmological constant