论文标题

在有完美的液体暗物质存在下,在旋转带电的黑洞中研究圆形大地测量学

Investigation of circular geodesics in a rotating charged black hole in the presence of perfect fluid dark matter

论文作者

Das, Anish, Saha, Ashis, Gangopadhyay, Sunandan

论文摘要

在这项工作中,我们在存在完美的流体暗物质(PFDM)的情况下获得了带电的黑洞溶液并讨论其能量条件。通过合并Newman-Janis算法获得了与该黑洞溶液旋转化的化身相对应的度量。然后,我们计算了两种类型的圆形测量学,即,对于此旋转的时空几何形状,无效的大地测量学和类似时间的大地测量学。对于时间样的大地学,我们认为中性和带电的巨型颗粒。还研究了相应的圆形测量学的有效电位。然后,我们通过图形地表示黑洞参数的集体效应,即黑洞($ q $),旋转参数($ a $)和PFDM参数($α$)对能量($ e $),Angular Momentum($ l $)和有效电位($ V_ {EFF} $)的集体效应。最后,我们讨论了Penrose过程,以研究负能量颗粒在甲环内存在可能存在,从而导致发射粒子的能量增益。

In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by incorporating the Newman-Janis algorithm. We then compute two types of circular geodesics, namely, the null geodesics and time-like geodesics for this rotating spacetime geometry. For the case of time-like geodesics, we consider both neutral as well as charged massive particles. The effective potentials of the corresponding circular geodesics has also been studied. We then present our results 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 ($α$) on the energy ($E$), angular momentum ($L$) and effective potential ($V_{eff}$) of the concerned particle. Finally, we discuss the Penrose process in order to study the negative energy particles having possible existence within the ergosphere, and which in turn leads to the energy gain of the emitted particle.

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