Liouvillian quasinormal modes of Reissner-Nordstrom black holes

被引：1
|
作者：
Couch, W. E. [1 ]
Holder, C. L. [2 ]
机构：
[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada
[2] Univ Alberta, Dept Math & Stat, Edmonton, AB T6G 2G1, Canada
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2009年 / 50卷 / 02期
关键词：
black holes; integral equations; Liouville equation; polynomials; ALGEBRAICALLY SPECIAL PERTURBATIONS;
D O I：
10.1063/1.3082372
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We identify a countable infinity of new exact, closed-form, quasinormal mode perturbations of Reissner-Nordstrom black holes. We obtain a finite number of these modes explicitly, together with the values of the quasinormal frequency and the black hole charge for which the modes are valid. These modes are contained in the Liouvillian perturbations obtained from the application of Kovacic's well-known algorithm to Chandrasekhar's radial equations. Our results suggest that the set of quasinormal modes found in this paper, plus the known algebraically special perturbations, are the only Liouvillian quasinormal modes of Reissner-Nordstrom.
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页数：7
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