Shadow and deflection angle of charged rotating black hole surrounded by perfect fluid dark matter

TL;DR

This paper investigates how perfect fluid dark matter influences the shadow, deflection angle, and Einstein ring size of charged rotating black holes, revealing significant effects of dark matter parameters on black hole spacetime and observable phenomena.

Contribution

It provides a detailed analysis of the impact of perfect fluid dark matter on the shadow, deflection angle, and energy emission of charged rotating black holes, including comparisons with non-rotating cases.

Findings

Dark matter parameter $\gamma$ alters shadow size and shape.

Presence of dark matter affects deflection angles and Einstein ring size.

Charged rotating black holes' properties are significantly influenced by dark matter parameters.

Abstract

We analysed the shadow cast by charged rotating black hole (BH) in presence of perfect fluid dark matter (PFDM). We studied the null geodesic equations and obtained the shadow of the charged rotating BH to see the effects of PFDM parameter $\gamma$, charge $Q$ and rotation parameter $a$, and it is noticed that the size as well as the shape of BH shadow is affected due to PFDM parameter, charge and rotation parameter. Thus, it is seen that the presence of dark matter around a BH affects its spacetime. We also investigated the influence of all the parameters (PFDM parameter $\gamma$, BHs charge $Q$ and rotational parameter $a$) on effective potential, energy emission by graphical representation, and compare all the results with the non rotating case in usual general relativity. To this end, we have also explored the effect of PFDM on the deflection angle and the size of Einstein rings.