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arXiv 2003.07173gr-qcastro-ph.HEhep-thquant-ph
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极端Reissner-Nordstrom黑洞的量子化

On the quantization of the extremal Reissner-Nordstrom black hole

C. Corda, F. Feleppa, F. Tamburini

摘要:

根据罗森的量子化规则,两位作者(CC和FF)最近描述了史瓦西黑洞(BH),它是在一个无压的“尘埃之星”的引力坍缩之后,用一个“引力氢原子“来描述的。本文将这种方法推广到带电物体的引力坍缩,即Reissner-Nordstrom BH(RNBH)的几何,并计算了引力势、薛定谔方程和引力坍缩的能级的精确解.利用我们之一CC提出的BH有效态的概念,我们描述了极端RNBH的量子引力势、质量谱和能谱。从质谱得到的面积谱与Bekenstein以前的结果一致。这些解的稳定性(用古宇宙情景的马约拉纳方法描述)表明,对于从稳定状态演变的小扰动,存在振荡状态或指数阻尼。

英文摘要:

Following Rosen's quantization rules, two of the Authors (CC and FF) recently described the Schwarzschild black hole (BH) formed after the gravitational collapse of a pressureless "star of dust" in terms of a "gravitational hydrogen atom". Here we generalize this approach to the gravitational collapse of a charged object, namely, to the geometry of a Reissner-Nordstrom BH (RNBH) and calculate the gravitational potential, the Schrödinger equation and the exact solutions of the energy levels of the gravitational collapse. By using the concept of BH effective state, previously introduced by one of us (CC), we describe the quantum gravitational potential, the mass spectrum and the energy spectrum for the extremal RNBH. The area spectrum derived from the mass spectrum finds agreement with a previous result by Bekenstein. The stability of these solutions, described with the Majorana approach to the Archaic Universe scenario, show the existence of oscillatory regimes or exponential damping for the evolution of a small perturbation from a stable state.

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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