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The wave equation $\square_{g_{M,a}}\psi=0$ on subextremal Kerr spacetimes $(\mathcal{M}_{M,a},g_{M,a})$, $0<|a|<M$, does not admit real mode solutions, as was established by Shlapentokh-Rothman.
Über das asymptotische Verhalten der Lösungen von Δ u + λ u = 0 {\Delta}u+{\lambda}u=0 in unendlichen Gebieten
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