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Black hole with quantum potential

机译:具有量子势的黑洞

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摘要

In this work, we investigate black hole (BH) physics in the context of quantum corrections. These quantum corrections were introduced recently by replacing classical geodesics with quantal (Bohmian) trajectories and hence form a quantum Raychaudhuri equation (QRE). From the QRE, we derive a modified Schwarzschild metric, and use that metric to investigate BH singularity and thermodynamics. We find that these quantum corrections change the picture of Hawking radiation greatly when the size of BH approaches the Planck scale. They prevent the BH from total evaporation, predicting the existence of a quantum BH remnant, which may introduce a possible resolution for the catastrophic behavior of Hawking radiation as the BH mass approaches zero. Those corrections also turn the spacelike singularity of the black hole to be timelike, and hence this may ameliorate the information loss problem.
机译:在这项工作中,我们将在量子校正的背景下研究黑洞(BH)物理学。这些量子校正是最近通过将经典的测地线替换为量子(Bohmian)轨迹而引入的,因此形成了一个量子Raychaudhuri方程(QRE)。从QRE中,我们导出了修改后的Schwarzschild度量,并使用该度量来研究BH奇异性和热力学。我们发现,当BH的大小接近Planck尺度时,这些量子校正会极大地改变Hawking辐射的图像。它们阻止了BH的完全蒸发,从而预测了量子BH残余物的存在,这可能为BH质量接近零时霍金辐射的灾难性行为提供了可能的解决方案。这些校正还使黑洞的空间奇异性变为时间性,因此可以缓解信息丢失的问题。

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