Influence of the Vacuum Polarization Effect on the Motion of Charged Particles in the Magnetic Field around a Schwarzschild Black Hole

Abstract

The consequences of the vacuum polarization effect in magnetic fields around a Schwarzschild Black Hole on the motion of charged particles are investigated in this work. Using the weak electromagnetic field approximation, we discuss the non-minimal coupling between magnetic fields and gravity caused by the vacuum polarization and study the equations of motion for the case of a magnetic field configuration which asymptotically approaches a dipole magnetic field. It is shown that the presence of non-minimal coupling can significantly influence the motion of charged particles around Black Holes. In particular, the vacuum polarization effect, leading to strong amplification or suppression of the magnetic field strength around the event horizon (depending on the sign of the coupling parameter), can affect the scattering angle and minimal distance for the electrons moving in the gravitational field of the Black Hole as well as the dependence of these parameters on the asymptotic magnetic field strength, initial distance and the Black Hole mass. It is further demonstrated that the non-minimal coupling between gravity and astrophysical magnetic fields, caused by the vacuum polarization, can cause significant changes of the parameter space corresponding to bound trajectories around the Black Hole. In certain cases, the bounded or unbounded character of a trajectory is determined solely by the presence of non-minimal coupling and its strength. These effects could in principle be used as observational signatures of the vacuum polarization effect and also to constrain the value of the coupling parameter.

arXiv comment12 pages, 4 figures; minor changes to match published version

References in corpus (54)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• 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
• Cosmological Magnetic Fields: Their Generation, Evolution and Observation
• Theoretical Physics Implications of the Binary Black-Hole Mergers GW150914 and GW151226
• Testing the rotational nature of the supermassive object M87* from the circularity and size of its first image
• A strong magnetic field around the supermassive black hole at the centre of the Galaxy
• Hunting for extra dimensions in the shadow of M87*
• The Evolution of Cosmic Magnetic Fields: From the Very Early Universe, to Recombination, to the Present
• Large-scale magnetic fields from hydromagnetic turbulence in the very early universe
• Magnetic fields from inflation?
• Primordial Magnetic Fields from Cosmological First Order Phase Transitions
• Resolved Magnetic-Field Structure and Variability Near the Event Horizon of Sagittarius A*
• Inflation and late-time cosmic acceleration in non-minimal Maxwell-$F(R)$ gravity and the generation of large-scale magnetic fields
• The First Magnetic Fields
• Magnetic Fields Produced by Phase Transition Bubbles in the Electroweak Phase Transition
• Motion of charged particles near weakly magnetized Schwarzschild black hole
• Circular orbits and related quasi-harmonic oscillatory motion of charged particles around weakly magnetized rotating black holes
• Motion of charged particles around a rotating black hole in a magnetic field
• Evolution of Primordial Magnetic Fields from Phase Transitions
• Possible signature of magnetic fields related to quasi-periodic oscillation observed in microquasars
• Non-minimal coupling for the gravitational and electromagnetic fields: A general system of equations
• Dynamics of Particles Around a Schwarzschild-like Black Hole in the Presence of Quintessence and Magnetic Field
• Magnetic Fields from QCD Phase Transitions
• Magnetic Fields from Phase Transitions
• The magnetic field in the X-ray corona of Cygnus X-1
• Quasinormal Modes of Modified Gravity (MOG) Black Holes
• Radiation reaction of charged particles orbiting magnetized Schwarzschild black hole
• On the Nature of the Magnetic Fields Generated During the Electroweak Phase Transition
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
• Evolution of inflation-generated magnetic field through phase transitions
• Large scale magnetic fields from gravitationally coupled electrodynamics
• Motion of Charged Particles around a Weakly Magnetized Rotating Black Hole
• Evolution of Helical Cosmic Magnetic Fields as Predicted by Magnetohydrodynamic Closure Theory
• Merger estimates for rotating Kerr black holes in modified gravity
• Non-minimally Coupled Gravitational and Electromagnetic Fields: pp-Wave Solutions
• Time Evolution of the Large-Scale Tail of Nonhelical Primordial Magnetic Fields with Back-Reaction of the Turbulent Medium
• The Effects of Running Gravitational Coupling On Rotating Black Holes
• f(R) gravity constraints from gravitational waves
• Motion of charged particles around a magnetized/electrified black hole
• Constraining alternative theories of gravity using GW$150914$ and GW$151226$
• Regular Black Hole Solutions of the Non-minimally Coupled $Y(R)F^2$ Gravity
• Higgs-induced spectroscopic shifts near strong gravity sources
• Search for Higgs shifts in white dwarfs
• Compact Stars in the Non-minimally Coupled Electromagnetic Fields to Gravity
• Spectral line broadening in magnetized black holes
• Higgs shifts from electron-positron annihilations near neutron stars
• Causality, initial conditions, and inflationary magnetogenesis
• Magnetogenesis in Cyclical Universe
• Radiation from an emitter revolving around a magnetized non-rotating black hole
• The effect of vacuum polarization on the magnetic fields around a Schwarzschild black hole

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• Charged black hole in $4D$ Einstein-Gauss-Bonnet gravity: Particle motion, plasma effect on weak gravitational lensing and centre-of-mass energy
• Charged particle and epicyclic motions around $4D$ Einstein-Gauss-Bonnet black hole immersed in an external magnetic field
• Motion of charged and spinning particle influenced by dark matter field surrounding a charged dyonic black hole
• Particle-antiparticle in 4D charged Einstein-Gauss-Bonnet black hole
• Hypocycloid motion in the Melvin magnetic universe
• On the Non-Minimal Coupling of Magnetic Fields with Gravity in Schwarzschild Spacetime