Particle acceleration around rotating Einstein-Born-Infeld black hole and plasma effect on gravitational lensing

TL;DR

This paper studies particle motion, horizon structure, and gravitational lensing effects around rotating Einstein-Born-Infeld black holes, emphasizing plasma influence on lensing and energy outcomes near the horizon.

Contribution

It provides a detailed analysis of gravitational lensing in plasma around Einstein-Born-Infeld black holes, including effects of spin and plasma on light deflection and photon sphere characteristics.

Findings

Plasma increases photon sphere radius and deflection angles.

Higher spin reduces plasma's impact on lensing in prograde orbits.

Strong lensing effects in plasma resemble vacuum cases for extreme black holes.

Abstract

We consider a time-like geodesics in the background of rotating Einstein-Born-Infeld (EBI) black hole to examine the horizon and ergosphere structure. The effective potential that governs the particle's motion in the spacetime and the innermost stable circular orbits (ISCO) is also studied. A qualitative analysis is conducted to find the redshifted ultrahigh centre-of-mass (CM) energy as a result of a two-particle collision specifically near the horizon. The recent Event Horizon Telescope (EHT) triggered a surge of interest in strong gravitational lensing by black holes, which provide a new tool comparing the black hole lensing in general relativity and alternate gravity theories. Motivated by this, we also discussed both strong and weak-field gravitational lensing in the space-time discretely for a uniform plasma and a singular isothermal sphere. We calculated the light deflection coefficients $\bar{a}$ and $\bar{b}$ in the strong field limits, and their variance with the rotational parameter $a$ for different plasma frequency as well as in vacuum. For EBI black holes, we found that plasma's presence increases the photon sphere radius, the deflection angle, the deflection coefficients $\bar{a}$, $\bar{b}$, the angular positions and the angular separation between the relativistic images. It is also shown that with increasing spin the impact of plasma on a strong gravitational lensing becomes smaller as the spin parameter grows in the prograde orbit ($a>0$). For extreme black holes, the strong gravitational effects in the homogenous plasma are similar to those of in a vacuum. We investigate strong gravitational lensing effects by supermassive black holes Sgr A* and M87*...