黑洞自转与吸积盘内边缘半径的关联

发布时间：2018-03-07 05:18

本文选题：黑洞　切入点：吸积盘　出处：《华中科技大学》2011年硕士论文　论文类型：学位论文

【摘要】：当黑洞吸积盘的内边缘分别固定在最内束缚圆轨道和最内稳定圆轨道上时,黑洞的质量和吸积盘内边缘的乘积是常数。在本文中,这种关系叫做MR关系,也就是黑洞的质量(M)和吸积盘的内边缘半径(R)的乘积是常数。本文在不同的情况下分别讨论了MR关系的正确性。结果显示,黑洞质量和吸积盘的内边缘半径的乘积,当吸积盘的内边缘分布在最内稳定圆轨道和最内束缚圆轨道之间时,这个乘积是单调减小的。另外,我们还讨论了有磁耦合(MC)机制存在的情况下的MR关系。虽然在理论上讲,黑洞质量和吸积盘最内稳定圆轨道的的乘积,在磁耦合机制存在的情况下,当黑洞自旋大于(或者小于)某些关键值的时候,这个乘积会随着时间的推移增加(或者减小)。这个关系对相当长时间(比如说大于一百万年的时间)的爱丁顿吸积率也是正确的。本文的工作主要在于以下几个方面: 首先,我们简要介绍了黑洞吸积盘的基本理论以及BZMC共存机制模型,还介绍了黑洞吸积盘内边缘半径的变化。BZMC共存模型为后面文章里介绍在该机制下的MR关系奠定了基础。黑洞内边缘半径在吸积过程中的演化是全文的主要概念之一,为MR关系的论证做铺垫。其次,我们介绍了黑洞自转与黑洞吸积盘内边缘半径演化的关联。结果表明,当黑洞吸积盘的内边缘分别位于最内稳定圆轨道(ISCO)和最内束缚圆轨道(ISBO)时,黑洞质量与黑洞吸积盘的内边缘半径乘积(MR关系)是常数。在此基础上我们讨论了MR关系的有效性:(1)吸积盘内边缘轨道位于最内稳定圆轨道和最内稳定圆轨道之间时的MR关系,(2)有磁耦合过程的MR关系。最后,我们介绍了MR关系在天体物理学上的运用。MR关系在天体物理的应用主要是两个方面,一个是在黑洞双星上的应用,另一个是关于类星体射电二分的应用。
[Abstract]:When the inner edge of a black hole accretion disk is fixed on the innermost bound circular orbit and the innermost stable circular orbit, the mass of the black hole and the product of the inner edge of the accretion disk are constant. In this paper, the correctness of Mr relation is discussed in different cases. The result shows that the product of black hole mass and inner edge radius of accretion disk is a constant. When the inner edge of the accretion disk is distributed between the innermost stable circular orbit and the innermost bound circular orbit, the product is monotonously reduced. The product of the mass of the black hole and the innermost stable circular orbit of the accretion disk, when the spin of the black hole is greater than (or less) than certain critical values when the magnetic coupling mechanism exists, This product will increase (or decrease) over time. This relationship is also true for a considerable period of time (say, more than a million years) of the Eddington accretion rate. First of all, we briefly introduce the basic theory of black hole accretion disk and the BZMC coexistence mechanism model. The coexisting model of edge radius in accretion disk of black hole. BZMC coexisting model lays the foundation of Mr relation under this mechanism. The evolution of inner edge radius of black hole in accretion process is one of the main concepts in this paper. To pave the way for the argument of Mr relationship. Secondly, we introduce the relationship between black hole rotation and the evolution of edge radius in accretion disk of black hole. The results show that when the inner edge of black hole accretion disk is located in the innermost stable circular orbit (ISCO) and the innermost bound circular orbit (ISBOO), The relation between the mass of black hole and the inner edge radius of black hole accretion disk is constant. On this basis, we discuss the validity of Mr relation: 1) the edge orbit of accretion disk lies in the innermost stable circle orbit and the innermost stable circle orbit. There is a Mr relation in magnetic coupling process. Finally, we introduce the application of Mr relation in astrophysics. The application of Mr relation in astrophysics is mainly in two aspects, one is on black hole binaries and the other is on quasar radio dichotomy.
【学位授予单位】：华中科技大学
【学位级别】：硕士
【学位授予年份】：2011
【分类号】：P145.8

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