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Absorption and quasinormal modes of classical fields propagating on 3D and 4D de Sitter spacetime
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We extensively study the exact solutions of the massless Dirac equation in 3D de Sitter spacetime that we published recently. Using the Newman-Penrose formalism, we find exact solutions of the equations of motion for the massless classical fields of spin s=1/2,1,2 and to the massive Dirac equation in 4D de Sitter metric. Employing these solutions, we analyze the absorption by the cosmological horizon and de Sitter quasinormal modes. We also comment on the results given by other authors.
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Non-oscillatory gravitational quasinormal modes of Reissner-Nordstr\"om-de Sitter spacetime
Purely imaginary gravitational quasinormal modes of Reissner-Nordström-de Sitter black holes are computed and shown to obey a universal small-hole formula and to generate late-time exponential tails.
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