Absorption and emission spectra of a Schwarzschild black hole
Absorption and emission spectra of a Schwarzschild black hole
复制标题
DOI：
10.1103/physrevd.18.1030
复制
发表时间：
1978-08
影响因子：
5
通讯作者：
N. Sanchez
中科院分区：
文献类型：
--
作者：
N. Sanchez
详细研究了Schwarzschild黑洞的吸收谱。精确和有用的计算方法的基础上的波动方程的解析解。以这种方式，相移和吸收截面得到了广泛的能量和角动量。与显式结果有效的低，高频率的比较。得到了黑洞的总吸收截面随能量的变化关系。它呈现出衍射图案的行为特征。常数几何光学极限[$（\frac{27}{4}）\ensuremath{\pi}r_{s}^{}_{}^{2}$]是以振荡方式接近的。给出了这些结果的物理解释，并提出了一个简单的模型，该模型定性地描述了黑洞对波的吸收。从这些吸收参数出发，计算了霍金辐射率，并讨论了它们的性质。
The absorption spectrum of a Schwarzschild black hole is studied in detail. Accurate and useful computational methods based on the analytical resolution of the wave equation are developed. In this way phase shifts and absorption cross sections are obtained for a wide range of energy and angular momentum. Comparison with the explicit results valid for low and high frequencies is made. The total absorption cross section of the black hole is obtained as a function of the energy. It presents behavior characteristic of a diffraction pattern. The constant geometric-optics limit [$(\frac{27}{4})\ensuremath{\pi}r_{s}^{}{}_{}{}^{2}$] is approached in an oscillatory fashion. The physical interpretation of these results is given and a simple model which describes qualitatively the absorption of waves by the black hole is presented. From these absorption parameters, the Hawking emission rates are calculated and their properties discussed.