Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole

Abstract

We investigate in detail the weak-field gravitational lensing of a relativistic neutral massive particle induced by a regular black-bounce-Schwarzschild black hole proposed by Simpson and Visser. Starting with the calculation of the gravitational deflection of the massive particle up to the third post-Minkowskian order, the Virbhadra-Ellis lens equation is solved perturbatively beyond the weak-deflection limit to achieve the expressions for the lensing observables of the primary and secondary images of a point-like particle source. The main observables contain not only the positions, the flux magnifications, and the gravitational time delays of the individual images, but also the positional relations, the magnification relations (including the total magnification), the magnification centroid, and the differential time delay. We then discuss the velocity-induced effects originated from the deviation of the particle's initial velocity from the speed of light on the black-bounce-Schwarzschild lensing observables of the images of a point-like light source, and the effects induced by the bounce parameter of the spacetime on the measurable image properties of Schwarzschild lensing of the massive particle. As an application of the results, we model the supermassive black hole in the Galactic Center (i.e., Sgr A${}^{\ast }$) as the lens, and focus on evaluating the possibilities to detect the new velocity-induced and bounce-induced effects on the practical lensing observables and analyzing the dependence of these effects on the parameters.

Accepted for publication in PRD

References in corpus (69)

• The Gaia mission
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Dark Matter Candidates from Particle Physics and Methods of Detection
• Trigonometric Parallaxes of Massive Star Forming Regions: VI. Galactic Structure, Fundamental Parameters and Non-Circular Motions
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• A Technique for Extracting Highly Precise Photometry for the Two-Wheeled Kepler Mission
• Rotating regular black holes
• Relativistic images of Schwarzschild black hole lensing
• Construction of Regular Black Holes in General Relativity
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• A discriminating probe of gravity at cosmological scales
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Gravitational Lensing by Rotating Wormholes
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Distortions of images of Schwarzschild lensing
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Gravitational lensing by a regular black hole
• Precise time-series photometry for the Kepler-2.0 mission
• Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Vaidya spacetimes, black-bounces, and traversable wormholes
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Investigating the Relativistic Motion of the Stars Near the Supermassive Black Hole in the Galactic Center
• Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem
• Enabling real-time multi-messenger astrophysics discoveries with deep learning
• Searches for Large-Scale Anisotropy in the Arrival Directions of Cosmic Rays Detected above Energy of $10^{19}$ eV at the Pierre Auger Observatory and the Telescope Array
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Formalism for testing theories of gravity using lensing by compact objects. III: Braneworld gravity
• Analytical study of gravitational lensing in Kerr-Newman black-bounce spacetime
• Weak deflection angle of black-bounce traversable wormholes using Gauss-Bonnet theorem in the dark matter medium
• Precise radio astrometry and new developments for the next generation of instruments
• Retrolensing by a charged black hole
• Constraining neutrino mass with weak lensing Minkowski Functionals
• Weak Gravitational Lensing in Dark Matter and Plasma Mediums for Wormhole-like Static Aether Solution
• Gravitational lensing in a topologically charged Eddington-inspired Born-Infeld spacetime
• Source of black bounces in general relativity
• Deflection of light and particles by moving gravitational lenses
• Magnification relations for Kerr lensing and testing Cosmic Censorship
• Retrolensing by two photon spheres of a black-bounce spacetime
• A review on analytical studies in Gravitational Lensing
• Holonomy corrected Schwarzschild black hole lensing
• Constraints on charged Symmergent black hole from shadow and lensing
• Testing black hole mimickers with the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Unbound motion of massive particles in the Schwarzschild metric: Analytical description in case of strong deflection
• Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes
• Gravitational Deflection of Light and Massive Particle by a Moving Kerr-Newman Black Hole
• Testing gravity at the Second post-Newtonian level through gravitational deflection of massive particles
• Analytical Derivation of Second-Order Deflection in Equatorial Plane of a Radially Moving Kerr-Newman Black Hole
• Lensing of Gravitational Waves as a Novel Probe of Graviton Mass
• Weak Deflection Angle, Hawking Radiation and Greybody Bound of Reissner-Nordström Black Hole Corrected by Bounce Parameter
• Galaxy-Scale Test of General Relativity with Strong Gravitational Lensing
• Perturbative deflection angle, gravitational lensing in the strong field limit and the black hole shadow
• Roto-translational Effects on Deflection of Light and Particle by Moving Kerr Black Hole
• Generalized Gibbons-Werner method for stationary spacetimes
• Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
• Microlensing effects of wormholes associated to blackhole spacetimes
• Determination of the spin parameter and the inclination angle by the relativistic images in black hole image
• Bounce corrections to gravitational lensing, quasinormal spectral stability and gray-body factors of Reissner-Nordström black holes
• Extending Gibbons-Werner method to bound orbits of massive particles
• Gravitational Lensing of Massive Particles in the Charged NUT Spacetime
• Microlensing effect of charged spherically symmetric wormhole
• Kerr-Newman black hole lensing of relativistic massive particles in the weak field limit
• Search for gamma-ray emission from the Sun during solar minimum with the ARGO-YBJ experiment
• The Effect of Light Deflection by Solar System Objects on High-Precision SKA Astrometry
• Kerr-Schild Form of the Exact Metric for a Constantly Moving Kerr Black Hole and Null Gravitational Deflection

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