Weak Deflection angle and Shadow by Tidal Charged Black Hole

Abstract

In this article, we calculate the deflection angle of tidal charged black hole (TCBH) in weak field limits. First we obtain the Gaussian optical curvature and then apply the Gauss-Bonnet theorem on it. With the help of Gibbons-Werner method, we are able to calculate the light's deflection angle by TCBH in weak field limits. After calculating the deflection angle of light, we check the graphical behavior of TCBH. Moreover, we further find the light's deflection angle in the presence of plasma medium and also check the graphical behavior in the presence of plasma medium. Moreover, we investigate the shadow of TCBH. For calculating the shadow, we first find the null geodesics around the TCBH and then find its shadow radius. We also obtain TCBH's shadow in the plasma medium. Hence, we discuss the shadow of the TCBH using the $M87^{\ast }$ parameters announced by the Event Horizon Telescope.

14 pages, 4 figures. Accepted for publication in Universe. https://www.mdpi.com/2218-1997/7/10/385

References in corpus (26)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Shadow of a black hole surrounded by dark matter
• Constraints on black-hole charges with the 2017 EHT observations of M87*
• Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope
• Gravitational Lensing by Rotating Wormholes
• Gravitational Lensing by Wormholes
• The Shadow of a Spherically Accreting Black Hole
• Frequency-dependent effects of gravitational lensing within plasma
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Finite-distance corrections to the gravitational bending angle of light in the strong deflection limit
• Deflection angle of light in an Ellis wormhole geometry
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Gravitational Lensing in presence of Plasma: Strong Lens Systems, Black Hole Lensing and Shadow
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Gravitational lensing in a non-uniform plasma
• Effect of Lorentz Symmetry Breaking on the Deflection of Light in a Cosmic String Spacetime
• Two families of astrophysical diverging lens models
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• Gravitational radiospectrometer
• Weak and strong deflection gravitational lensings by a charged Horndeski black hole
• Constraining the tidal charge of brane black holes using their shadows
• Escape and Trapping of Low-Frequency Gravitationally Lensed Rays by Compact Objects within Plasma
• Gravitational Lensing of Rays through the Levitating Atmospheres of Compact Objects
• Gravitational lens optical scalars in terms of energy-momentum distributions