Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

Abstract

We calculate the exact solutions to the equations of motion that govern the light ray trajectories as they travel in a Kerr black hole's exterior that is considered to be filled with an inhomogeneous and anisotropic plasmic medium. This is approached by characterizing the plasma through conceiving a radial and an angular structure function, which are let to be constant. The description of the motion is carried out by using the Hamilton-Jacobi method, that allows defining two effective potentials, characterizing the evolution of the polar coordinates. The elliptic integrals of motion are then solved analytically, and the evolution of coordinates is expressed in terms of the Mino time. This way, the three-dimensional demonstrations of the light ray trajectories are given respectively.

arXiv comment22 pages, 32 figures, to appear in EPJC

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• Shadows of Kerr black holes with a Gaussian-distributed plasma in the polar direction
• Study of null and time-like geodesics in the exterior of a Schwarzschild black hole with quintessence and cloud of strings
• Probing Geometric Proca in Metric-Palatini Gravity with Black Hole Shadow and Photon Motion
• Shadows of rotating Einstein-Maxwell-dilaton black holes surrounded by a plasma
• Study of Einstein-bumblebee gravity with Kerr-Sen-like solution in the presence of a dispersive medium
• Spherical photon orbits around a rotating black hole with quintessence and cloud of strings
• Orbits of particles with magnetic dipole moment around magnetized Schwarzschild black holes: Applications to S2 star orbit
• Analytical study of particle geodesics around a scale-dependent de Sitter black hole
• Light propagation around a Kerr-like black hole immersed in an inhomogeneous anisotropic plasma in Rastall gravity: Analytical solutions to the equations of motion
• Null geodesics around a black hole with weakly coupled global monopole charge
• Shadows cast by a class of rotating black bounces with an anisotropic fluid