Abstract
The stationary solutions of the wave equation describing the gravitational perturbations in a curved background are considered. The background space-time is a de Sitter metric (including a cosmological term $ \Lambda$ . It is assumed that the metric perturbations are generated by a slowly rotating sphere in stationary motion. Solutions to the wave equation are linear in $ \Lambda$ and can be interpreted physically in comparison with the corresponding solutions in the flat background ( $ \Lambda=0$ .
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