de Sitter spacetime: effects of metric perturbations on geodesic motion
Abstract
Gravitational perturbations of the de Sitter spacetime are investigated using the ReggeWheeler formalism. The set of perturbation equations is reduced to a single second order differential equation of the Heuntype 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 tetradinvariant firstorder massless perturbations of any spin are explored following the approach of Teukolsky. The existence of closedform, i.e. Liouvillian, solutions to the radial part of the Teukolsky master equation is discussed.
 Publication:

General Relativity and Gravitation
 Pub Date:
 February 2012
 DOI:
 10.1007/s1071401112872
 arXiv:
 arXiv:1103.3204
 Bibcode:
 2012GReGr..44..467B
 Keywords:

 de Sitter spacetime;
 Gravitational perturbations;
 Teukolsky equation;
 Liouvillian solutions;
 General Relativity and Quantum Cosmology;
 Mathematical Physics
 EPrint:
 IOP macros, 10 figures