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 ($\alpha ,\beta$). 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 ($a$, $Q$, $\chi$, $k$) 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 $M87^{\ast }$ central supermassive black hole.

V1, 22 pages, 17 figures; V2, 29 pages, 27 figures; To appear in Classical and Quantum gravity

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• Reissner-Nordström black holes surrounded by perfect fluid dark matter: testing the viability of weak gravity conjecture and weak cosmic censorship conjecture simultaneously
• Spherical photon orbits around a rotating black hole with quintessence and cloud of strings
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• Influence of plasma on the optical appearance of spinning black hole in Kalb-Ramond gravity and its Existence around M87* and Sgr A*
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• Shadow of Kottler black hole in the presence of plasma for a co-moving observer
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• Influence of Quantum Correction on Kerr Black Hole in Effective Loop Quantum Gravity via Shadows and EHT Results
• Gravitational Lensing of Spherically Symmetric Black Holes in Dark Matter Halos
• Accreting Black Holes in Dark Matter Halos
• Deflection and Gravitational lensing of null and timelike signals in the Kiselev black hole spacetime in the weak field limit
• Gravitational Lensing of Euler-Heisenberg Black Hole Surrounded by Perfect Fluid Dark Matter
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