Observational signature of Reissner–Nordstr$$\ddot{\textrm{o}}$$m–Tangherlini black hole

Abstract In this article, we investigate the observational properties of the Reissner–Nordstr $$\ddot{\textrm{o}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mtext>o</mml:mtext> <mml:mo>¨</mml:mo> </mml:mover> </mml:math> m–Tangherlini (RNT) black hole (BH). Firstly, we briefly explore the spacetime properties of the RNT BH, including the horizon structure and scalar invariants. It was found that the values of the event horizon radius decrease with increasing BH dimension and charge. Subsequently, we explore the massive and massless particle dynamics around RNT BH. Afterwards, gravitational weak lensing is investigated for two plasma types: uniform and non-uniform. Our results show that a uniform plasma increases the deflection angle of light around an RNT BH, whereas a non-uniform plasma decreases it. Finally, we study the BH shadow and constrain the values of the spacetime parameters using the Event Horizon Telescope (EHT) observational results.

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