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Author Mano, Shuhei ♦ Akasugi, Eiichi T.
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
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 sum· marize the main result: The relative normalization between the solutions with a spin weight sand- 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.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Publisher Date 1997-01-01