Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion | Zendy

S. Mano | Zendy; H. Suzuki | Zendy; Eiichi Takasugi | Zendy

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Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion

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.96.549

Subject(s) - physics , hypergeometric function , series (stratigraphy) , coulomb , series expansion , classical mechanics , convergence (economics) , coulomb wave function , gravitational wave , mathematical physics , mathematical analysis , quantum mechanics , paleontology , mathematics , economics , biology , economic growth , electron

Analytic solutions of the Regge-Wheeler equation are presented in the form ofseries of hypergeometric functions and Coulomb wave functions which havedifferent regions of convergence. Relations between these solutions areestablished. The series solutions are given as the Post-Minkowskian expansionwith respect to a parameter $\epsilon \equiv 2M\omega$, $M$ being the mass ofblack hole. This expansion corresponds to the post-Newtonian expansion whenthey are applied to the gravitational radiation from a particle in circularorbit around a black hole. These solutions can also be useful for numericalcomputations.Comment: 22 page

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