Open AccessAnalytic Solutions of the Teukolsky Equation and Their Low Frequency Expansions
Author(s) -
S. Mano,
H. Suzuki,
Eiichi Takasugi
Publication year - 1996
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.95.1079
Subject(s) - physics , minkowski space , black hole (networking) , gravitational wave , hypergeometric function , series (stratigraphy) , ligo , classical mechanics , rotating black hole , coulomb , series expansion , mathematical physics , quantum mechanics , mathematical analysis , computer network , routing protocol , paleontology , routing (electronic design automation) , mathematics , computer science , angular momentum , biology , link state routing protocol , electron
Analytic solutions of the Teukolsky equation in Kerr geometries are presentedin the form of series of hypergeometric functions and Coulomb wave functions.Relations between these solutions are established. The solutions provide a verypowerful method not only for examining the general properties of solutions andphysical quantities when they are applied to, but also for numericalcomputations. The solutions are given in the expansion of a small parameter$\epsilon \equiv 2M\omega$, $M$ being the mass of black hole, which correspondsto Post-Minkowski expansion by $G$ and to post-Newtonian expansion when theyare applied to the gravitational radiation from a particle in circular orbitaround a black hole. It is expected that these solutions will become a powerfulweapon to construct the theoretical template towards LIGO and VIRGO projects.Comment: 24 pages, minor modification
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