球对称黑洞在狄拉克场扰动下的似正规模

发布时间：2018-05-30 12:00

本文选题：黑洞似正规模 + 狄拉克扰动　；参考：《重庆大学》2015年硕士论文

【摘要】：似正规模的研究作为黑洞物理学的一个重要分支,它是研究黑洞周围的物质场扰动波包在黑洞时空中演化的中期衰减行为。作为黑洞的“特征声音”它被认为是直接探测黑洞存在的有力证据。如果引力波被探测到,那么我们还可以通过引力波实验探测黑洞的存在。因此,黑洞似正规模能帮助我们更加深入的了解黑洞的特性。本论文围绕黑洞的似正规模进行研究,主要讨论了狄拉克扰动对黑洞稳定性的影响。其内容主要由以下五个部分构成:第一部分是绪论;第二部分重点介绍了狄拉克场的扰动;第三部和第四部分分别计算了规则黑洞和f(R)黑洞狄拉克场扰动的似正规模;文章最后是总结与展望。具体安排如下:在第一章中,简单介绍了黑洞物理学的发展、黑洞的性质、黑洞似正规模的研究进展、黑洞似正规模的计算方法以及研究黑洞似正规模的意义。在第二章中,从弯曲时空中狄拉克场方程出发,得到了狄拉克扰动下黑洞振荡的薛定谔方程。在第三章中,利用三阶WKB法计算了无质量和有质量的狄拉克场扰动,我们分析了似正规模频率与相关的参数(包括角量子数l、磁荷?以及质量m)之间的关系。讨论了极端黑洞的情况,最后我们用有限差分法给出了径向波函数和时间的关系。由此,确定了狄拉克场在时域中的动力学演化。在第四章中,我们讨论了静态f(R)引力理论所涉及的两个黑洞解:f(R)(Schwarzschild)黑洞和f(R)-Maxwell黑洞。我们利用有限差分法分析了f(R)黑洞的稳定性,并且找到了f(R)黑洞的零界值区间,以及与角量子数有关的|k|对f(R)黑洞的影响。之后我们在无质量和有质量场中,分析了似正规模频率和相关参数(包括角量子数l、磁荷?以及质量m)的关系,并且与经典黑洞作了一系列比较。第五章为本文的总结与展望。
[Abstract]:As an important branch of black hole physics, the study of quasi-positive scale is an intermediate attenuation of the evolution of the disturbance wave packet of the mass field around the black hole in the black hole space-time. As the "characteristic sound" of a black hole, it is considered to be a strong evidence of the existence of a black hole directly. If gravitational waves are detected, we can also detect the existence of black holes by gravitational waves. Therefore, the black hole appears to be positive size can help us to understand the characteristics of black holes in depth. In this paper, the effect of Dirac perturbation on the stability of black hole is discussed. The content is composed of the following five parts: the first part is the introduction, the second part mainly introduces the disturbance of the Dirac field, the third part and the fourth part calculate the quasi-positive scale of the regular black hole and the fro) black hole Dirac field disturbance, respectively. The last part of the article is a summary and prospect. The details are as follows: in the first chapter, the development of black hole physics, the properties of black hole, the research progress of black hole's quasi-positive size, the calculation method of black hole's quasi-positive size and the significance of studying black hole's quasi-positive size are briefly introduced. In chapter 2, starting from the Dirac field equation in curved spacetime, the Schrodinger equation of black hole oscillation under Dirac perturbation is obtained. In chapter 3, we use the third-order WKB method to calculate the massless and massless Dirac field perturbations. We analyze the frequency of quasi-positive scale and the related parameters (including angular quantum number l, magnetic charge). And the relationship between quality m). The case of extreme black holes is discussed and the relation between radial wave function and time is given by the finite difference method. Therefore, the dynamic evolution of the Dirac field in time domain is determined. In chapter 4, we discuss two black hole solutions: f(R)-Maxwell black hole and f(R)-Maxwell black hole. By using the finite difference method, we analyze the stability of a black hole, and find out the range of zero and bound values of the black hole, and the influence of the angular quantum number on the black hole. Then in massless and massless fields, we analyze the frequency of quasi-positive scale and the related parameters (including angular quantum number l, magnetic charge? And mass m) and a series of comparisons with classical black holes. The fifth chapter is the summary and prospect of this paper.
【学位授予单位】：重庆大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：P145.8

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