We recently studied the energy behavior of a quantum-corrected time-dependent black hole. The system analyzed was a quantum-corrected Kerr solution that settles down to a stationary configuration as the time dependence fades out. A trans-Planckian energy scaling in the vicinity of the event horizon resulted, and we proposed the trans-Planckian radiation to be the missing link in the glowing mechanism of active galactic nuclei. The main goal of the present work is to examine the scaling and structure of the radiation by analyzing the quantum momentum density. We again observe a trans-Planckian behavior. Furthermore, the momentum density displays structures that are indicative of a disk-like configuration near the equator and a collimated outflow of matter from the poles. The bipolar outflow (disk-like structure) should be an essential part of the underlying mechanism for jets (accretion disks) of active galactic nuclei.

中文翻译：

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由旋转黑洞产生的量子引力跨普朗克辐射

我们最近研究了量子校正的时间相关黑洞的能量行为。所分析的系统是一个量子校正的克尔解决方案，随着时间依赖性逐渐​​消失，该解决方案会稳定下来。在事件视界附近产生了跨普朗克能量缩放，我们提出跨普朗克辐射是活动星系核发光机制中缺失的环节。目前工作的主要目标是通过分析量子动量密度来检查辐射的比例和结构。我们再次观察到跨普朗克行为。此外，动量密度显示的结构表明赤道附近的盘状结构和物质从两极平行流出。