Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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.

Javed, W.; Hamza, A.; Övgün, A. Weak Deflection Angle and Shadow by Tidal Charged Black Hole. Universe, 2021, 7, 385. https://doi.org/10.3390/universe7100385. Javed, W.; Hamza, A.; Övgün, A. Weak Deflection Angle and Shadow by Tidal Charged Black Hole. Universe, 2021, 7, 385. https://doi.org/10.3390/universe7100385.

Abstract

In this article, we calculate the deflection angle of tidal charged black hole (TCBH) in weak field limits. For doing this, first of all we obtain the Gaussian optical curvature and then apply the Gauss-Bonnet theorem on it and with the help of Gibbons-Werner method, we calculate the light's deflection angle by TCBH. 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. In the next section, we investigate the shadow of TCBH. For calculating the shadow, we first find the photon geodesic around the TCBH and then find its shadow. We also obtain TCBH's shadow in the plasma medium. Moreover, we also find shadow's shapes and discuss the effect of plasma on shadow.

Keywords

relativity; gravitation; tidal charged black hole; Gauss-Bonnet; effect of plasma; shadow

Subject

Physical Sciences, Atomic and Molecular Physics

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