黑洞量子效应的理论研究

发布时间：2018-09-19 20:26

【摘要】： 本文研究了黑洞的一些量子效应,包括Hawking辐射,似正规模以及黑洞的量子化。Hawking辐射和似正规模与引力波的探测有着密切关系,前者为后者提供理论指导,后者为前者提供实验论证。另外,黑洞的量子化在建立完备的量子引力中具有非常重要的作用,类似于氢原子的量子化在量子力学中的地位。因此,对黑洞的量子效应的研究有着巨大的理论意义。论文共分四个部分。第一部分主要介绍了经典黑洞的几何性质,主要包括无限红移面和视界,并重点讨论了Penrose图的基本特性。第二部分主要介绍了黑洞主要的量子效应的基本概念和计算方法。第三部分我们主要研究了在五维最小标准超引力下旋转带电Godel黑洞的Hawking辐射。通过使用衔接技术,我们计算出对应的吸收因子,分析了Godel黑洞的三个参数对吸收因子的影响。另外,我们获得产生超辐射的条件。第四部分我们根据最近对似正规模新的物理解释,研究了四维时空中近极端Schwarzschild-de Sitter黑洞的量子化。使用Kunstatter的方法,我们获得了黑洞的视界面积谱,发现它与最初Bekenstein对非极端黑洞面积谱的猜想完全相同。
[Abstract]:In this paper, we study some quantum effects of black hole, including Hawking radiation, quasi-positive size, quantization of black hole. Hawking radiation and quasi-positive size are closely related to the detection of gravitational waves. The former provides theoretical guidance for the latter. The latter provides experimental proof for the former. In addition, the quantization of black holes plays a very important role in the establishment of complete quantum gravity, similar to the position of hydrogen atoms in quantum mechanics. Therefore, the study of the quantum effect of black hole has great theoretical significance. The thesis is divided into four parts. In the first part, the geometric properties of the classical black hole are introduced, including the infinite redshift surface and the horizon, and the basic properties of the Penrose diagram are discussed emphatically. In the second part, the basic concept and calculation method of the main quantum effect of black hole are introduced. In the third part, we study the Hawking radiation of a rotating charged Godel black hole under five dimensional minimum standard supergravity. By using the convergence technique, we calculate the corresponding absorption factor and analyze the influence of three parameters of the Godel black hole on the absorption factor. In addition, we obtain the conditions under which superradiation is produced. In the fourth part, we study the quantization of near-extreme Schwarzschild-de Sitter black holes in four-dimensional spacetime based on the recent physical interpretation of the quasi-positive scale. Using the Kunstatter method, we obtain the horizon area spectrum of a black hole and find that it is exactly the same as the original Bekenstein's conjecture on the area spectrum of a non-extreme black hole.
【学位授予单位】：大连理工大学
【学位级别】：硕士
【学位授予年份】：2010
【分类号】：P145.8

【相似文献】