Effect of electric interaction on the deflection and gravitational lensing in the strong field limit

Abstract

The deflection angle $\Delta \varphi$ of charged signals in general charged spacetime in the strong field limit is analyzed in this work using a perturbative method generalized from the neutral signal case. The solved $\Delta \varphi$ naturally contains the finite distance effect and takes a quasi-power series form with a logarithmic divergence at the leading order. The coefficients of the series contain both the gravitational and electric contributions. Using the Reissner-Nordström spacetime as an example, we found that an electric repulsion (or attraction) tends to decrease (or increase) the critical impact parameter $b_c$. If the repulsion is strong enough, then $b_c$ can shrink to zero and the critical particle sphere $r_{0c}$ will disappear. These results are applied to the gravitational lensing of charge signal, from which we solved the image positions, their magnifications and time delays. It is found that in general, the electric repulsion (or attraction) will decrease (or increase) the image apparent angles, the black hole shadow size as well as their magnifications but increase (or decrease) the time delay.

15 pages, 8 figures; references added in v2

References in corpus (20)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• First Sagittarius A* Event Horizon Telescope Results. V. Testing Astrophysical Models of the Galactic Center Black Hole
• The mass distribution in the Galactic Centre from interferometric astrometry of multiple stellar orbits
• Measurement of the cosmic-ray proton spectrum from 40 GeV to 100 TeV with the DAMPE satellite
• Gravitational Lensing by Wormholes
• Can we distinguish between black holes and wormholes by their Einstein-ring systems?
• Connection between black-hole quasinormal modes and lensing in the strong deflection limit
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario
• Strong deflection limit of black hole gravitational lensing with arbitrary source distances
• Can strong gravitational lensing distinguish naked singularities from black holes?
• An Upper Limit on the Charge of the Black Hole Sgr A* from EHT Observations
• Retrolensing by a charged black hole
• Revised Lens Model for the Multiply-Imaged Lensed Supernova, "SN Refsdal", in MACS J1149+2223
• Spectral and Imaging properties of Sgr A* from High-Resolution 3D GRMHD Simulations with Radiative Cooling
• Kerr-Newman-Jacobi geometry and the deflection of charged massive particles
• Perturbative deflection angle, gravitational lensing in the strong field limit and the black hole shadow
• Deflection angle with electromagnetic interaction and gravitational-electromagnetic dual lensing

Cited by in corpus (3)

• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Deflection and gravitational lensing with finite distance effect in the strong deflection limit in stationary and axisymmetric spacetimes
• Off-equatorial deflections and gravitational lensing. II. In general stationary and axisymmetric spacetimes