Weak deflection angle and shadow by tidal charged black hole

Wajiha Javed, Ali Hamza, Ali Övgün

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


In this article, we calculate the deflection angle of a 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 the plasma medium and also check the graphical behavior in the presence of the 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 M87parameters announced by the event horizon telescope.

Original languageEnglish
Article number385
Issue number10
StatePublished - Oct 2021
Externally publishedYes


  • Black hole
  • Gauss–Bonnet theorem
  • Gravitation
  • Plasma medium
  • Relativity
  • Shadow
  • Tidal charge


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