Study of circular geodesics and shadow of rotating charged black hole surrounded by perfect fluid dark matter immersed in plasma

Abstract In this work, we consider a rotating charged black hole surrounded by perfect fluid dark matter. We consider the system to be immersed in non-magnetised, pressureless plasma. First, we evaluate the null geodesics in order to study the co-rotating and counter rotating photon orbits. Further, we analyse the null geodesics to calculate the celestial coordinates ( α , β ). The celestial coordinates are used to determine the black hole shadow radius ( R s ). Thereafter, we observe and analyse the effects of black hole spacetime, perfect fluid dark matter and plasma parameters ( a , Q , χ , k ) on the black hole shadow in detail. Finally, we study the effect of plasma distribution on the effective potential ( V eff ) of the black hole spacetime as encountered by the photons. We also present bounds on the plasma parameter from the observational data from M 87* central supermassive black hole.

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