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Series solutions for the Klein-Gordon equation in Schwarzschild space-time
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Three pairs of independent solutions of the radial equation corresponding to a massive Klein-Gordon field in Schwarzschild space-time are given. They are defined through different series expansions for the cases r\ensuremath{\rightarrow}0, r\ensuremath{\rightarrow}\ensuremath{\infty}, and r\ensuremath{\sim}2GM.
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ELIZALDE, E. (Emili). Series solutions for the Klein-Gordon equation in Schwarzschild space-time. Physical Review D. 1989. Vol. 36, num. 4, pags. 1269-1272. ISSN 0556-2821. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/12446