Analytic solutions of the Teukolsky equation and their low frequency expansions

被引:207
作者
Mano, S [1 ]
Suzuki, H [1 ]
Takasugi, E [1 ]
机构
[1] HOKKAIDO UNIV,DEPT PHYS,SAPPORO,HOKKAIDO 060,JAPAN
来源
PROGRESS OF THEORETICAL PHYSICS | 1996年 / 95卷 / 06期
关键词
D O I
10.1143/PTP.95.1079
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Analytic solutions of the Teukolsky equation for arbitrary spin weight in Kerr geometry are presented in the form of series of hypergeometric functions and Coulomb wave functions. Relations between these solutions are established. The solutions provide a very powerful method not only for examining the general properties of solutions and physical quantities both analytically and numerically. The solutions can be regarded as series expansions in terms of a small parameter epsilon = 2M omega, M being the mass of black hole, which corresponds to the Post-Minkowski expansion by G and to post-Newtonian expansion when they are applied to the gravitational radiation from a particle in circular orbit around a black hole. It is expected that these solutions will become a powerful weapon to construct accurate theoretical templates for LIGO and VIRGO projects.
引用
收藏
页码:1079 / 1096
页数:18
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