Light propagation around a Kerr-like black hole immersed in an inhomogeneous anisotropic plasma in Rastall gravity: Analytical solutions to the equations of motion

Abstract

In this paper, we explore the behavior of light ray trajectories in the exterior geometry of a rotating black hole within the Rastall theory of gravity, which is surrounded by an inhomogeneous anisotropic electronic cold plasma. By specifying the plasma's frequency profile, we derive fully analytical solutions for the temporal evolution of spacetime coordinates using elliptic integrals and Jacobi elliptic functions. These solutions illustrate various possible orbits. Throughout the study, we compare the results with those in the vacuum case, emphasizing the influence of plasma. Additionally, we utilize the analytical solutions to establish the lens equation for the considered spacetime. The investigation also addresses the significance of spherical photon orbits on critical trajectories, by presenting several examples.

arXiv comment33 pages, 37 figures

References in corpus (96)

• A Universal Density Profile from Hierarchical Clustering
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Structure of Cold Dark Matter Halos
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Axion Cosmology
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Cold and Fuzzy Dark Matter
• Ultralight scalars as cosmological dark matter
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• Schwarzschild black hole lensing
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Constraining Warm Dark Matter candidates including sterile neutrinos and light gravitinos with WMAP and the Lyman-alpha forest
• Quintessence and black holes
• Dark Energy
• Black Hole Shadows, Photon Rings, and Lensing Rings
• Calculating black hole shadows: Review of analytical studies
• Holographic Dark Energy
• Late time Cosmological Phase Transition and Galactic Halo as Bose-liquid
• Photon Regions and Shadows of Kerr-Newman-NUT Black Holes with a Cosmological Constant
• Influence of a plasma on the shadow of a spherically symmetric black hole
• Shadow of rotating regular black holes
• Generating rotating regular black hole solutions without complexification
• Fluid Dark Matter
• Universal Interferometric Signatures of a Black Hole's Photon Ring
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Optical properties of black hole in the presence of plasma: shadow
• Photon Rings around Kerr and Kerr-like Black Holes
• Shadow and Deflection Angle of Rotating Black Holes in Perfect Fluid Dark Matter with a Cosmological Constant
• Dark Matter from an ultra-light pseudo-Goldsone-boson
• Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow
• Rastall Cosmology and the ΛCDM Model
• Black Hole Solutions Surrounded by Perfect Fluid in Rastall Theory
• Analytical solution of the geodesic equation in Kerr-(anti) de Sitter space-times
• Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
• From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic field
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Extreme Gravitational Lensing near Rotating Black Holes
• The Null Geodesics of the Kerr Exterior
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Rotating black hole in Rastall theory
• Universal Polarimetric Signatures of the Black Hole Photon Ring
• Black Hole Solutions in Rastall Theory
• The Kiselev black hole is neither perfect fluid, nor is it quintessence
• Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses
• Precise relativistic orbits in Kerr and Kerr-(anti) de Sitter spacetimes
• Analytic treatment of complete and incomplete geodesics in Taub-NUT space-times
• Gravitational lensing in plasma: Relativistic images at homogeneous plasma
• Thermodynamics of Black Holes in Rastall Gravity
• The Application of Weierstrass elliptic functions to Schwarzschild Null Geodesics
• Optical properties of Kerr-Newman spacetime in the presence of plasma
• Kerr-Newman-AdS Black Hole Surrounded by Perfect Fluid Matter in Rastall Gravity
• Perfect Fluid Dark Matter
• Rastall cosmology
• Frame dragging and bending of Light in Kerr and Kerr-(anti) de Sitter spacetimes
• Polarized Image of Equatorial Emission in the Kerr Geometry
• Gravitational radiospectrometer
• Gravitational lensing and frame dragging of light in the Kerr-Newman and the Kerr-Newman-(anti) de Sitter black hole spacetimes
• Revisiting the shadow of a black hole in the presence of a plasma
• Influence of a plasma on the observational signature of a high-spin Kerr black hole
• Einstein Static Universe in Rastall Theory of Gravity
• The shadow and photon sphere of the charged black hole in Rastall gravity
• Strong Gravitational Lensing by Schwarzschild Black Holes
• Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in General Relativity
• Geodesic motion in Euclidean Schwarzschild geometry
• Shadows of black hole surrounded by anisotropic fluid in Rastall theory
• The complete set of solutions of the geodesic equations in the space-time of a Schwarzschild black hole pierced by a cosmic string
• Investigating effects of dark matter on photon orbits and black hole shadows
• Null Geodesics and Observables around Kerr-Sen Black Hole
• Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma
• Observable characteristics of the charged black hole surrounded by thin disk accretion in Rastall gravity
• Testing Gravity with Black Hole Shadow Subrings
• Equatorial light bending around Kerr-Newman black holes
• Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr-Newman-de Sitter and Kerr-Newman black hole geometries
• Detailed study of geodesics in the Kerr-Newman-(A)dS spactime and the rotating charged black hole spacetime in $f(R)$ gravity
• Study of null and time-like geodesics in the exterior of a Schwarzschild black hole with quintessence and cloud of strings
• Spherical photon orbits in the field of Kerr naked singularities
• Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma
• Spinning black holes with a separable Hamilton-Jacobi equation from a modified Newman-Janis algorithm
• Approximate analytical calculations of photon geodesics in the Schwarzschild metric
• Spatial dispersion of light rays propagating through a plasma in Kerr spacetime
• Exact Formulas for Spherical Photon Orbits Around Kerr Black Holes
• Effects of Homogeneous Plasma on Strong Gravitational Lensing of Kerr Black Holes
• Null paths on a toroidal topological black hole in conformalWeyl gravity
• Spherical photon orbits around a rotating black hole with quintessence and cloud of strings
• Rastall's Cosmology and its Observational Constraints
• An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes
• Gravitational Rutherford scattering of electrically charged particles from a charged Weyl black hole
• Analytic solutions of the geodesic equation for Reissner-Nordström-(anti-)de Sitter black holes surrounded by different kinds of regular and exotic matter fields
• Classical tests on a charged Weyl black hole: bending of light, Shapiro delay and Sagnac effect
• Simulation of geodesic trajectory of charged BTZ black holes in massive gravity
• Using the Uncharged Kerr Black Hole as a Gravitational Mirror
• Sachs equations for light bundles in a cold plasma
• Modeling galactic halos with predominantly quintessential matter
• Radii of spherical photon orbits around Kerr-Newman black holes