Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Ariane Beier (UP)
The radial part of the scalar wave equation (SWE) on the Schwarzschild spacetime can be interpreted and analysed as a Sturm-Liouville problem. Considering a topological quantum number or fields of higher spin, one obtains generalisations of the SWE, which can be studied in a similar manner. In this talk, I will present the results of the Sturm-Liouville analysis of the above mentioned equations. Furthermore, I would like to discuss some open questions.
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