Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions

  title={Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions},
  author={Shuhei Mano and Hisao Suzuki and E. H. Takasugi},
Analytic solutions of the Teukolsky equation in Kerr geometries 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 when they are applied to, but also for numerical computations. The solutions are given in the expansion of a small parameter ǫ ≡ 2Mω, M being the mass of black hole… CONTINUE READING

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