de Sitter spacetime: effects of metric perturbations on geodesic motion

Details de Sitter spacetime: effects of metric perturbations on geodesic motion de Sitter spacetime: effects of metric perturbations on geodesic motion

2011-03-16

arxiv.org/abs/1103.3204v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

IOP macros, 10 figures

Scientific paper

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.

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