黑洞视界面积量子化问题的探究

发布时间：2019-03-08 18:13

【摘要】：黑洞视界面积量子化问题是理论物理研究的前沿课题,也是当前科学讨论的热点问题。近年来,人们对黑洞视界面积量子化等内容进行了一系列的研究工作,取得了一些成果,但有关的一些理论问题还需深入研究。下面本文重点对复杂的荷电黑洞进行了详细的探究。首先,本文对静态球对称的整体磁单极黑洞进行了讨论,整体磁单极黑洞的视界面积谱问题还尚未被研究,因此利用绝热协变量的方法来量子化整体磁单极黑洞的视界面积的研究具有一定的意义。研究结果表明此黑洞的面积谱是等间距的,与黑洞的磁单极参数无关。其次,Born-Infeld-Anti de sitter黑洞的面积谱问题进行了探讨。同样利用了绝热协变量的方法对该黑洞的的视界面积进行了量子化,得到了其面积谱是等间距的,与黑洞参数和宇宙学常数无关。最后,分析了稳态时空下轴对称的kerr-Newman黑洞和加速旋转的黑洞的面积谱问题。通过近视界近似来简化复杂的推算,然后利用绝热协变量的方法成功的对黑洞的面积谱进行了量子化,并且分别在两种不同坐标系下得到了同样的结论。结果表明,两种黑洞的面积谱和熵谱是等间距的,与本身黑洞参数无关。综上所述,本文将绝热协变量量子化黑洞视界面积推广到对复杂荷电黑洞的视界面积量子化问题的分析和讨论。其核心关键技巧是绝热协变量的方法。最后得到的结果表明,黑洞的面积谱是等间距的,与本身黑洞参数无关。
[Abstract]:The problem of black hole horizon area quantization is not only the frontier subject of theoretical physics, but also the hot topic of scientific discussion. In recent years, people have carried on a series of research work to the black hole horizon area quantization and so on, have obtained some achievements, but some related theoretical problems still need to be deeply studied. The following paper focuses on the complex charged black hole for detailed exploration. Firstly, the static spherically symmetric global magnetic monopole black hole is discussed in this paper. The horizon area spectrum of the global magnetic monopole black hole has not yet been studied. Therefore, the study of the horizon area of the global magnetic monopole black hole is of great significance by using the adiabatic covariant method. The results show that the area spectrum of the black hole is equidistant and independent of the magnetic monopole parameters of the black hole. Secondly, the area spectrum of Born-Infeld-Anti de sitter black hole is discussed. The horizon area of the black hole is also quantized by means of adiabatic covariates, and the area spectrum of the black hole is equally spaced, independent of the black hole parameters and cosmological constants. Finally, the area spectrum of axisymmetric kerr-Newman black hole and accelerating rotating black hole under steady-state spacetime is analyzed. The complex calculation is simplified by near-horizon approximation, and then the area spectrum of black hole is successfully quantized by the method of adiabatic covariates, and the same conclusion is obtained in two different coordinate systems. The results show that the area spectrum and entropy spectrum of the two kinds of black holes are equidistant and independent of their black hole parameters. In summary, the horizon area of the quantum black hole with adiabatic covariates is extended to the analysis and discussion of the quantization of the horizon area of the complex charged black hole. The key technique is the method of adiabatic covariates. The final results show that the black hole area spectrum is equidistant and independent of its own black hole parameters.
【学位授予单位】：沈阳师范大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：P145.8

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