We give a charged black hole solution in perfect fluid dark matter (PFDM). The metric corresponding to the rotating avatar of the black hole solution is obtained by incorporating the Newman-Janis algorithm. We then compute two type of circular geodesics, namely, the null geodesics and time-like geodesics for the mentioned spacetime geometry. For the case of time-like geodesics we consider massive particles characterized by charge with values $q=0$ and $q\neq0$. The effective potentials of the corresponding circular geodesics has also been studied briefly. We then continue the subsequent analysis by graphically representing the collective effects of the black hole parameters, namely, the charge of the black hole ($Q$), spin parameter ($a$) and the PFDM parameter ($\alpha$) on the energy ($E$), angular momentum ($L$) and effective potential ($V_{eff}$) of the concerned particle. We then discuss the Penrose process in order to study the negative energy particles which have possible existence within the ergosphere and which in turn leads to the energy gain of the emitting particle.

中文翻译：

---

存在完美流体暗物质的旋转带电黑洞中圆形测地线的研究

我们给出了完美流体暗物质 (PFDM) 中带电黑洞的解决方案。通过结合Newman-Janis算法得到黑洞解旋转头像对应的度量。然后我们计算两种类型的圆形测地线，即上述时空几何的零测地线和类时测地线。对于类时间测地线的情况，我们考虑以电荷为特征的大质量粒子，其值为 $q=0$ 和 $q\neq0$。还简要研究了相应圆形测地线的有效势。然后我们通过图形表示黑洞参数的集体效应继续后续分析，即黑洞的电荷（$Q$）、自旋参数（$a$）和 PFDM 参数（$\alpha$）对能量（$E$），相关粒子的角动量 ($L$) 和有效势 ($V_{eff}$)。然后我们讨论彭罗斯过程，以研究可能存在于能层中的负能量粒子，这反过来又导致发射粒子的能量增益。