Exact solutions of Regge-Wheeler equation and quasi-normal modes of compact objects

被引:69
|
作者
Fiziev, PP [1 ]
机构
[1] Univ Sofia, Dept Theoret Phys, Sofia 1164, Bulgaria
关键词
D O I
10.1088/0264-9381/23/7/015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The well-known Regge-Wheeler equation describes the axial perturbations of the Schwarzschild metric in the linear approximation. From a mathematical point of view it presents a particular case of the confluent Heun equation and can be solved exactly, due to recent mathematical developments. We present the basic properties of its general solution. A novel analytical approach and numerical techniques to study the boundary problems which correspond to quasi-normal modes of black holes and other simple models of compact objects are developed.
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页码:2447 / 2468
页数:22
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