Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
Analytic solutions of the Regge-Wheeler equation are presented in the form of a series of hypergeometric functions and Coulomb wave functions which have different regions of convergence. Relations among these solutions are established. The series solutions are given as the Post-Minkowskian expansion with respect to the parameter ϵ≡2Mω, M being …