We present an exhaustive analysis of scalar, electromagnetic, and gravitational perturbations in the background of Schwarzchild--de Sitter and Reissner--Nordstr\"om--de Sitter spacetimes. The field propagation is considered by means of a semianalytical (WKB) approach and two numerical schemes: the characteristic and general initial value integrations. The results are compared near the extreme cosmological constant regime, where analytical results are presented. A unifying picture is established for the dynamics of different spin fields.
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Molina et al. (2004) studied this question.
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