Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic

Abstract

In this paper, we investigate the gravitational lensing properties of magnetically charged black holes within the framework of nonlinear electrodynamics. We derive the deflection angle and examine the influence of the nonlinear electrodynamics parameter $\xi$ on light bending. We initially employ a geometric approach based on the Gauss-Bonnet theorem to analyze the gravitational deflection of null and timelike particles. This method encapsulates the global characteristics of the lensing effect in an elegant manner. In the subsequent part of the work, we explore the impact of nonlinear electromagnetic corrections on the black hole shadow. Using numerical techniques, we study the behavior of the photon sphere and demonstrate that a reduction in the photon sphere radius leads to a correspondingly smaller shadow. We compare these results with those for the Schwarzschild and Reissner-Nordström black holes, highlighting the distinctive features introduced by nonlinear electrodynamics. Furthermore, we examine the strong deflection limit for light trajectories near these black holes, focusing on the roles of both the magnetic charge $Q$ and the nonlinear parameter $\xi$. Our analysis reveals that the combined effects of $Q$ and $\xi$ enhance the strong deflection angle, resulting in a more pronounced lensing effect than that predicted by the classical Reissner-Nordström solution. These findings suggest that the nonlinear interactions may provide a potential observational signature for identifying NED black holes.

13 pages, 6 figures. This is the published version

References in corpus (67)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• 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
• 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
• First Sagittarius A* Event Horizon Telescope Results. III: Imaging of the Galactic Center Supermassive Black Hole
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• CP Violation in Leptonic Rare $B_s^0$ Decays as a Probe of New Physics
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Shadow cast and deflection of light by charged rotating regular black holes
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Gravitational lensing in a non-uniform plasma
• Evaluation of New Submillimeter VLBI Sites for the Event Horizon Telescope
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Reference Array and Design Consideration for the next-generation Event Horizon Telescope
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• The role of Lambda in the cosmological lens equation
• Rigorous Approach to the Gravitational Lensing
• Black hole in quantum wave dark matter
• Retrolensing by a charged black hole
• Gravitational lensing in a topologically charged Eddington-inspired Born-Infeld spacetime
• Phantom wormholes in Einstein-Maxwell-dilaton theory
• Black hole surrounded by the pseudo-isothermal dark matter halo
• Gravitational signatures of a non--commutative stable black hole
• Holonomy corrected Schwarzschild black hole lensing
• Event Horizon Telescope observations exclude compact objects in baseline mimetic gravity
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Primordial regular black holes as all the dark matter. I. Time-radial-symmetric metrics
• Weak gravitational lensing by two-power-law densities using the Gauss-Bonnet theorem
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Multi-frequency Black Hole Imaging for the Next-Generation Event Horizon Telescope
• Images of hairy Reissner-Nordström black hole illuminated by static accretions
• Shadows, rings and optical appearance of a magnetically charged regular black hole illuminated by various accretion disks
• Gravitational Lensing of Schwarzschild and Charged Black Holes Immersed in Perfect Fluid Dark Matter Halo
• Effects of Born-Infeld electrodynamics on black hole shadows
• Nonlinearly charged black holes: Shadow and Thin-accretion disk
• Review of scientific topics for Millimetron space observatory
• Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows
• Weak Deflection Angle, Hawking Radiation and Greybody Bound of Reissner-Nordström Black Hole Corrected by Bounce Parameter
• Constraints via the Event Horizon Telescope for Black Hole Solutions with Dark Matter under the Generalized Uncertainty Principle Minimal Length Scale Effect
• The effect of scalar hair on the charged black hole with the images from accretions disk
• Thermodynamics and Optical Properties of Phantom AdS Black Holes in Massive Gravity
• Apparent and emergent dark matter around a Schwarzschild black hole
• Exploring Nonlinear Electrodynamics Theories: Shadows of Regular Black Holes and Horizonless Ultra-Compact Objects
• Weak field deflection angle and analytical parameter estimation of the Lorentz-violating Bumblebee parameter through the black hole shadow using EHT data
• Observational Signatures: Shadow cast by the effective metric of photons for black holes with rational non-linear electrodynamics
• Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects
• Exploring light deflection and black hole shadows in Rastall theory with plasma effects
• Microlensing effects of wormholes associated to blackhole spacetimes
• Remarks on a nonlinear electromagnetic extension in AdS Reissner-Nordström spacetime
• Search for flavour-changing neutral-current couplings between the top quark and the Higgs boson in multi-lepton final states in 13 TeV $pp$ collisions with the ATLAS detector
• Extending Gibbons-Werner method to bound orbits of massive particles
• Accretion onto a Charged Black Hole in Consistent 4D Einstein-Gauss-Bonnet Gravity
• On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions
• Microlensing and event rate of static spherically symmetric wormhole

Cited by in corpus (2)

• Quasinormal Modes, Grebody Factors, and Hawking Radiation Sparsity of Black Holes Influenced by a Global Monopole Charge in Kalb-Ramond Gravity
• Revisiting The Gravitational Mirroring In Presence of Compact Objects