论文标题

Penrose过程在轴向对称磁化的Reissner-Nordström黑洞的时空中的效率

Efficiency of Penrose process in spacetime of axially symmetric magnetized Reissner-Nordström black hole

论文作者

Shaymatov, Sanjar, Sheoran, Pankaj, Becerril, Ricardo, Nucamendi, Ulises, Ahmedov, Bobomurat

论文摘要

在本文中,我们研究了用于中性和带电的颗粒的轴向对称磁化的雷森·诺德斯特斯特罗姆黑洞的penrose过程。我们从对黑洞几何形状的研究开始,然后找到$ g_ {tt} $组件的区域为正(即$ g_ {tt}> 0 $)。有趣的是,条件$ g_ {tt}> 0 $不仅要实现,不仅接近事件范围,因此在潜在井的轮廓中远离事件范围。我们还表明,随着无量纲磁场$ b $的增加,$ g_ {tt}> 0 $相应地生长,并最终与Ergoregion合并时,当$ b \ gtrsim 1.6 1.6 $时,$ g_ {tt}> 0 $增加了潜在井的轮廓。最后,我们研究了Penrose过程对轴向对称磁化黑洞壳的效率,并提出了磁场对其的影响。此外,我们还将结果与Kerr黑洞的结果进行了比较。我们表明,当电荷的$ q $保持稳定时,对于{中性粒子(即$ q/m = 0 $)而言,能量提取过程的效率首先增加,然后随着$ B $字段的价值而开始降低,与Kerr Black Hole的价值上升,它总是随着旋转参数的发展而始终增加。但是,对于充电粒子(即$ q \ neq 0 $)的情况,随着$ b $字段的上升,效率总是会提高,并且当$ b $和$ b $和$ q/m $都足够大时,效率可能超过$ 100 \%$(例如$ b \ b \ b \ b \ of of1 $和$ q/m> 2.2 $)}。值得注意的是,区域的存在远离地平线,其中$ g_ {tt}> 0 $也有利于脱离黑洞效果的能量取消过程。但是,这些区域的能量提取是磁场的纯粹结果。

In this paper, we investigate the Penrose process in the purlieus of the axially symmetric magnetized Reissner-Nordström black hole for both neutral and charged particles. We start with the study of the geometry of the black hole and find the regions where the $g_{tt}$ component of the metric tensor is positive (i.e., $g_{tt}>0$). It is interestingly found that the condition $g_{tt}>0$ is fulfilled not only close to the event horizon known as the ergosphere but also far away from the event horizon in the silhouette of potential wells. We also show that as the dimensionless magnetic field $B$ increases the silhouette of potential wells for which $g_{tt}>0$ grows correspondingly and eventually merges with the ergoregion when $B\gtrsim 1.6$. Finally, we investigate the efficiency of the Penrose process for the axially symmetric magnetized black hole case and bring out the effect of the magnetic field on it. Further, we also compare our results with the one for Kerr black hole. We show that when the charge $Q$ of the black hole is kept constant, the efficiency of the energy extraction process for the case of {a neutral particle (i.e., $q/m=0$) first increases and then begins to decrease with rise in the value of $B$ field, in contrast to Kerr black hole where it always increases as the rotation parameter grows. However, for the case of a charged particle (i.e., $q\neq 0$) the efficiency always increases with the rise in the $B$ field and can go over $100\%$, when both $B$ and $q/m$ are large enough (say $B\approx1$ and $q/m>2.2$)}. It is worth noting that the existence of regions away from the horizon where $g_{tt}>0$ also favors the energy-extraction process away from the effect of the black hole. However, the energy extraction from these regions is pure consequence of the magnetic field.

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