Slowly rotating sphere in de Sitter space-time

摘要

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. and can be interpreted physically in comparison with the corresponding solutions in the flat background (Lambda = 0).