论文标题
关于极端Reissner-Nordstrom黑洞的量化
On the quantization of the extremal Reissner-Nordstrom black hole
论文作者
论文摘要
遵循罗森（Rosen）的量化规则，两名作者（CC和FF）最近描述了在“重力氢原子”的重力崩溃后形成的Schwarzschild黑洞（BH）。在这里，我们将这种方法概括为带电物体的重力崩溃，即reissner-Nordstrom BH（RNBH）的几何形状，并计算重力电位，Schrödinger方程以及重力崩溃的精确溶液。通过使用先前由我们中的一个人（CC）引入的BH有效状态的概念，我们描述了极端RNBH的量子引力电位，质谱和能量谱。质谱衍生的面积光谱与Bekenstein的先前结果一致。这些解决方案的稳定性用Majorana方法描述为古老的宇宙方案，表明存在振荡性制度或指数抑制作用，从而从稳定的状态中进行了小小的扰动。
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.
