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Prog. Theor. Phys. Vol. 97 No. 2 (1997) pp. 213-232

[ Full Text PDF : FREE ACCESS (824K) ]

Analytic Solutions of the Teukolsky Equation and Their Properties

Shuhei Mano and Eiichi Takasugi

Department of Physics, Osaka University, Toyonaka 560

(Received November 8, 1996)

Abstract:

The analytical solutions reported in our previous paper are given as series of hypergeometric or Coulomb wave functions. Using them, we can get the Teukolsky functions analytically in a desired accuracy. For the computation, the deep understanding of their properties is necessary. We summarize the main result: The relative normalization between the solutions with a spin weight s and -s is given analytically using the Teukolsky-Starobinsky (T-S) identities. By examining the asymptotic behavior of our solution and combined with the T-S identities and the Wronskian, we found nontrivial identities between the sums of coefficients of the series. These identities will serve to make various expression in simpler forms and also become a powerful tool to test the accuracy of the computation. As an application, we investigated the absorption rate and the evaporation rate of black hole and obtain interesting analytic results.


URL : http://ptp.ipap.jp/link?PTP/97/213/
DOI : 10.1143/PTP.97.213

[ Full Text PDF : FREE ACCESS (824K) ] Citation:

References:

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