English

Weak Deflection angle and Shadow by Tidal Charged Black Hole

General Relativity and Quantum Cosmology 2021-10-25 v1

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 M87M87^{*} parameters announced by the Event Horizon Telescope.

Cite

@article{arxiv.2110.11397,
  title  = {Weak Deflection angle and Shadow by Tidal Charged Black Hole},
  author = {Wajiha Javed and Ali Hamza and Ali Övgün},
  journal= {arXiv preprint arXiv:2110.11397},
  year   = {2021}
}

Comments

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

R2 v1 2026-06-24T07:05:14.191Z