Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Weak Deflection Angle and Shadow by Tidal Charged Black Hole

Version 1 : Received: 2 March 2020 / Approved: 4 March 2020 / Online: 4 March 2020 (05:15:26 CET)
Version 2 : Received: 12 October 2021 / Approved: 19 October 2021 / Online: 19 October 2021 (10:13:01 CEST)

A peer-reviewed article of this Preprint also exists.

Universe 2021, 7(10), 385. Universe 2021, 7(10), 385.

Journal reference: Universe 2021, 7, 385
DOI: 10.3390/universe7100385

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 $M87^{*}$ parameters announced by the Event Horizon Telescope.

Keywords

Relativity; Gravitation; Black hole; Tidal Charge; Gauss-bonnet theorem; plasma medium; Shadow

Subject

PHYSICAL SCIENCES, General & Theoretical Physics

Comments (1)

Comment 1
Received: 19 October 2021
Commenter: Ali Övgün
Commenter's Conflict of Interests: Author
Comment: -typos are corrected.
-more discussions are added.
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