Time delay induced by plasma in strong lens systems

Abstract

If the gravitational lens is surrounded by non-homoheneous plasma, in addition to the vacuum gravitational deflection, chromatic refraction occurs. Also, the speed of signal propagation decreases compared to vacuum. In this article, we investigate analytically the time delay in the case of gravitational lensing in plasma, focusing on strong lens systems. We take into account the following contributions: geometric delay due to trajectory bending in the presence of both gravity and plasma; potential delay of the ray in the gravitational field of the lens; dispersion delay in the plasma due to decrease of speed of light signal in the medium. We consider singular isothermal sphere as a model of gravitational lens, and arbitrary spherically symmetric distribution of surrounding plasma. For this scenario, plasma corrections for the time delay between two images are found in compact analytical form convenient for estimates. We discuss also the possible influence of the plasma on the value of the Hubble constant, determined from observations of the time delay in strong lens systems.

8 pages, 1 figure

References in corpus (31)

• Calculating black hole shadows: Review of analytical studies
• Frequency-dependent effects of gravitational lensing within plasma
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Shadow analysis for rotating black holes in the presence of plasma for an expanding universe
• 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
• Two families of astrophysical diverging lens models
• Gravitational radiospectrometer
• Influence of a plasma on the observational signature of a high-spin Kerr black hole
• Strong Gravitational Lensing by Schwarzschild Black Holes
• 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
• Gravitational Lensing of Rays through the Levitating Atmospheres of Compact Objects
• 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
• 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 concentration-velocity dispersion relation in galaxy groups
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Gravitational lensing in the presence of plasma scattering with application to Fast Radio Bursts
• Analytical expressions for pulse profile of neutron stars in plasma environments
• Dual-Component Plasma Lens Models
• Binary microlensing with plasma environment -- Star and planet
• Plasma lensing in comparison to gravitational lensing -- Formalism and degeneracies
• 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

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• Deciphering signatures of Kerr-Sen black holes in presence of plasma from the Event Horizon Telescope data
• Light deflection in axially symmetric stationary spacetimes filled with a moving medium
• Investigating the interplay of the braneworld gravity and the plasma environment on the black hole shadow