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- Title
de Sitter spacetime: effects of metric perturbations on geodesic motion.
- Authors
Bini, Donato; Esposito, Giampiero; Geralico, Andrea
- Abstract
Gravitational perturbations of the de Sitter spacetime are investigated using the Regge-Wheeler formalism. The set of perturbation equations is reduced to a single second order differential equation of the Heun-type for both electric and magnetic multipoles. The solution so obtained is used to study the deviation from an initially radial geodesic due to the perturbation. The spectral properties of the perturbed metric are also analyzed. Finally, gauge- and tetrad-invariant first-order massless perturbations of any spin are explored following the approach of Teukolsky. The existence of closed-form, i.e. Liouvillian, solutions to the radial part of the Teukolsky master equation is discussed.
- Subjects
SPACETIME; ASTRONOMICAL perturbation; PERTURBATION theory; DIFFERENTIAL equations; GEODESICS
- Publication
General Relativity & Gravitation, 2012, Vol 44, Issue 2, p467
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-011-1287-2