arXiv 1210.40122012-10-15gr-qc

再论Reissner-Nordström黑洞的发射光谱和熵量子

Revisit emission spectrum and entropy quantum of the Reissner-Nordström black hole

Qing-Quan Jiang

备注：: 7 pages
发表信息：: Eur. Phys. J. C72 (2012) 2086
DOI：: 10.1140/epjc/s10052-012-2086-y

摘要：

Banerjee和Majhi最近的工作表明，黑洞的发射光谱可以在隧道图像中完全再现，其中，作为一种有趣的技术，Kruskal扩展被引入连接视界内外的左模和右模。作为一种扩展，一些尝试集中在产生（带电）Reissner-Nordström黑洞的霍金发射光谱上。不幸的是，在他们的观测中，Kruskal扩展的定义是如此糟糕，以至于进入模式在经典上被禁止向黑洞的中心移动，但可以以$Γ=e^{-πω_0/κ_+}$的概率穿过视界。这张隧道照片是非物质的。基于这一点，本文首先对（带电）Reissner-Nordström黑洞引入了一个合适的Kruskal扩张，使得在带电粒子发射过程中可以提供一个完美的隧穿图像.然后，在新的Kruskal扩展下，我们重新审视了霍金发射光谱和熵谱作为从带电黑洞隧穿。结果表明，隧穿方法具有普遍的鲁棒性，可以很好地再现带电黑洞的Hawking黑体发射光谱，其诱导熵量子对即将建立的量子引力理论有更好的近似.

英文摘要：

Banerjee and Majhi's recent work shows that black hole's emission spectrum could be fully reproduced in the tunneling picture, where, as an intriguing technique, the Kruskal extension was introduced to connect the left and right modes inside and outside the horizon. Some attempt, as an extension, was focused on producing the Hawking emission spectrum of the (charged) Reissner-Nordström black hole in the Banerjee-Majhi's treatment. Unfortunately, the Kruskal extension in their observation was so badly defined that the ingoing mode was classically forbidden traveling towards the center of black hole, but could quantum tunnel across the horizon with the probability $Γ=e^{-πω_0/κ_+}$. This tunneling picture is unphysical. With this point as a central motivation, in this paper we first introduce such a suitable Kruskal extension for the (charged) Reissner-Nordström black hole that a perfect tunneling picture can be provided during the charged particle's emission. Then, under the new Kruskal extension, we revisit the Hawking emission spectrum and entropy spectroscopy as tunneling from the charged black hole. The result shows that the tunneling method is so universally robust that the Hawking blackbody emission spectrum from a charged black hole can be well reproduced in the tunneling mechanism, and its induced entropy quantum is a much better approximation for the forthcoming quantum gravity theory.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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