Deflection of light rays in a moving medium around a spherically symmetric gravitating object
arXiv:2403.16842 · doi:10.1103/PhysRevD.109.124024
Abstract
In most analytical studies of light ray propagation in curved spacetimes around a gravitating object surrounded by a medium, it is assumed that the medium is a cold nonmagnetized plasma. The distinctive feature of this environment is that the equations of motion of the rays are independent of the plasma velocity, which, however, is not the case in other media. In this paper, we consider the deflection of light rays propagating near a spherically symmetric gravitating object in a moving dispersive medium given by a general refractive index. The deflection is studied when the motion of the medium is defined either as a radially falling onto a gravitating object (e.g., black hole), or rotating in the equatorial plane. For both cases the deflection angles are obtained. These examples demonstrate that fully analytic expressions can be obtained if the Hamiltonian for the rays takes a rather general form as a polynomial in a given momentum component. The general expressions are further applied to three specific choices of refractive indices and these cases are compared. Furthermore, the light rays propagating around a gravitating object surrounded by a generally moving medium are further studied as a small perturbation of the cold plasma model. The deflection angle formula is hence expressed as a sum of zeroth and first order components, where the zeroth order term corresponds to the known cold plasma case and the first order correction can be interpreted as caused by small difference in the refractive index compared to the cold plasma. The results presented in this paper allow to describe the effects caused by the motion of a medium and thus go beyond cold nonmagnetized plasma model.
References in corpus (53)
- Calculating black hole shadows: Review of analytical studies
- Gravitational Lensing
- Influence of a plasma on the shadow of a spherically symmetric black hole
- Gravitational Lensing in Astronomy
- Weak lensing in a plasma medium and gravitational deflection of massive particles using the Gauss-Bonnet theorem. A unified treatment
- Light propagation in a plasma on Kerr spacetime: Separation of the Hamilton-Jacobi equation and calculation of the shadow
- Frequency-dependent effects of gravitational lensing within plasma
- Shadow analysis for rotating black holes in the presence of plasma for an expanding universe
- Gravitational lensing in plasma: Relativistic images at homogeneous plasma
- Effects of plasma on gravitational lensing
- Gravitational lensing in a non-uniform plasma
- Higher order corrections to deflection angle of massive particles and light rays in plasma media for stationary spacetimes using the Gauss-Bonnet theorem
- Gravitational radiospectrometer
- Covariant Magnetoionic Theory I: Ray Propagation
- Covariant Magnetoionic Theory II: Radiative Transfer
- 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
- Finite distance corrections to the light deflection in a gravitational field with a plasma medium
- Gravitational lensing in dispersive media and deflection angle of charged massive particles in terms of curvature scalars and energy-momentum tensor
- The 1919 measurement of the deflection of light
- Escape and Trapping of Low-Frequency Gravitationally Lensed Rays by Compact Objects within Plasma
- Deflection of light rays by spherically symmetric black hole in dispersive medium
- Curved spacetimes with local -Poincaré dispersion relation
- Gravitational Lensing of Rays through the Levitating Atmospheres of Compact Objects
- Redshift and lateshift from homogeneous and isotropic modified dispersion relations
- Diffraction of light by the gravitational field of the Sun and the solar corona
- Shadows of Kerr black holes with a Gaussian-distributed plasma in the polar direction
- Light propagation in a plasma on an axially symmetric and stationary spacetime: Separability of the Hamilton-Jacobi equation and shadow
- Spatial dispersion of light rays propagating through a plasma in Kerr spacetime
- Hills and holes in the microlensing light curve due to plasma environment around gravitational lens
- Gravitational effect of plasma particles on the shadow of Schwarzschild black holes
- Pulsar timing in extreme mass ratio binaries: a general relativistic approach
- Shadows of rotating Einstein-Maxwell-dilaton black holes surrounded by a plasma
- The effects of plasma lensing on the inferred dispersion measures of Fast Radio Bursts
- The effects of plasma on the magnification and time delay of strongly lensed fast radio bursts
- Shadows of rotating black holes in plasma environments with aberration effects
- The Legacy of Einstein's Eclipse, Gravitational Lensing
- Sachs equations for light bundles in a cold plasma
- Observables from spherically symmetric modified dispersion relations
- Diffraction of light by plasma in the solar system
- Light deflection by squashed Kaluza-Klein black holes in a plasma medium
- Analytical expressions for pulse profile of neutron stars in plasma environments
- Time delay induced by plasma in strong lens systems
- Gravitational lensing in the presence of plasma scattering with application to Fast Radio Bursts
- Binary microlensing with plasma environment -- Star and planet
- An experimental test of gravity at high energy
- Effect of black hole--plasma system on light beams
- Perturbative and numerical approach to plasma strong lensing
- General Relativistic Magnetoionic Theory
- Light Deflection in Plasma in the Hartle-Thorne Metric and in Other Axisymmetric Spacetimes with a Quadrupole Moment
- Photon propagation in a material medium on a curved spacetime
- Effects of the refractive index of the X-ray corona on the emission lines in AGN
- A Century of Light-Bending Measurements: Bringing Solar Eclipses into the Classroom