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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Malekolkalami, B., Ghazizadeh, A. & Mohammadi, T. Slowly rotating sphere in de Sitter space-time. Eur. Phys. J. Plus 128, 58 (2013). https://doi.org/10.1140/epjp/i2013-13058-4
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DOI: https://doi.org/10.1140/epjp/i2013-13058-4