Analytic Solutions of the Teukolsky Equation and Their Low Frequency Expansions

摘要: Analytic solutions of the Teukolsky equation in Kerr geometries are presented form series hypergeometric functions and Coulomb wave functions. Relations between these established. The provide a very powerful method not only for examining general properties physical quantities when they applied to, but also numerical computations. given expansion small parameter $\epsilon \equiv 2M\omega$, $M$ being mass black hole, which corresponds to Post-Minkowski by $G$ post-Newtonian gravitational radiation from particle circular orbit around hole. It is expected that will become weapon construct theoretical template towards LIGO VIRGO projects.