f（R）引力中黑洞的拟正则模

发布时间：2018-01-07 01:23

本文关键词：f（R）引力中黑洞的拟正则模　出处：《上海师范大学》2013年硕士论文　论文类型：学位论文

【摘要】：本文研究f(R)引力中静态球对称黑洞解及其拟正则模。黑洞的拟正则模可以反映黑洞在受到外界扰动后振荡的性质。因为f(R)引力的场方程是一个含四阶导数的方程，为了得到一个唯一的解，需要取定更多的积分常数，这导致了外部的时空几何不光由星体的质量描述。本文着重计算对于反常红移为非零常数的黑洞以及克利夫顿-巴罗黑洞的拟正则模频率。在计算拟正则模时主要运用WKB法，连分数法，以及单值法。其中的单值法可以用来研究快速衰减的拟正则模。连分数法能较为精确地计算拟正则模。经计算发现，对于反常红移为非零常数的黑洞，其拟正则模频率较史瓦西黑洞的拟正则模频率变慢，，衰减变小。而对于克利夫顿-巴罗黑洞，本文用WKB法和连分数法计算得出拟正则模频率的衰减基本不变，振荡变快。同时，我们也给出利用单值法求出的高度衰减的拟正则模频率的关系式。
[Abstract]:This paper studies the f (R) gravity in static spherically symmetric black hole solutions and quasi normal modes. Quasi normal modes can reflect the nature of the black hole under oscillating disturbance after the black hole. Because f (R) is a gravitational field equation with four order derivative equations, in order to obtain a unique solution to take the integral constant more, which leads to the external spacetime geometry not only by star quality description. In this paper, calculation of quasinormal mode frequency for abnormal redshift is a nonzero constant of the black hole and Clifton barrow of the black hole. The main use of WKB method in the calculation of quasi normal modes, the continued fraction method and single value method single value method can be used to study the fast decay of the quasi normal modes. The continued fraction method can accurately calculate the quasi normal modes. The calculation shows that the anomalous redshift is non-zero constant for the black hole, the quasinormal mode frequency is quasi Schwarzschild black hole is die The frequency becomes slower and the attenuation becomes smaller. For the Clifton Barlow black hole, we use the WKB method and continued fraction method to calculate the decay of quasi regular mode frequency.

【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P145.8

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