Analytic solutions of the Regge-Wheeler equation and the post-Minkowskian expansion

被引：103

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 / 96卷 / 03期

关键词：

D O I：

10.1143/PTP.96.549

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Analytic solutions of the Regge-Wheeler equation are presented in the form of a series of hypergeometric functions and Coulomb wave functions which have different regions of convergence. Relations among these solutions are established. The series solutions are given as the Post-Minkowskian expansion with respect to the parameter epsilon=2M omega, M being the mass of a black hole. This expansion corresponds to the post-Newtonian expansion when they are applied to the gravitational radiation from a particle in a circular orbit around a black hole. These solutions can also be useful for numerical computations.

引用

页码：549 / 565

页数：17

共 9 条

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Erdelyi A, 1953, HIGHER TRANSCENDENTA

[2] SOLUTIONS TO A GENERALIZED SPHEROIDAL WAVE-EQUATION - TEUKOLSKY EQUATIONS IN GENERAL-RELATIVITY, AND THE 2-CENTER PROBLEM IN MOLECULAR QUANTUM-MECHANICS [J].