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de Sitter spacetime: effects of metric perturbations on geodesic motion

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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.

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Authors and Affiliations

  1. Istituto per le Applicazioni del Calcolo “M. Picone,” CNR, 00161, Rome, Italy

    Donato Bini

  2. ICRA, University of Rome “La Sapienza”, 00185, Rome, Italy

    Donato Bini

  3. INFN—Sezione di Firenze, Polo Scientifico, Via Sansone 1, 50019, Sesto Fiorentino, FI, Italy

    Donato Bini

  4. INFN, Sezione di Napoli, Complesso Universitario di Monte S. Angelo, Via Cinthia, Edificio 6, 80126, Naples, Italy

    Giampiero Esposito

  5. Physics Department and ICRA, University of Rome “LaSapienza”, 00185, Rome, Italy

    Andrea Geralico

Authors
  1. Donato Bini
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  2. Giampiero Esposito
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  3. Andrea Geralico
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Correspondence to Donato Bini.

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Bini, D., Esposito, G. & Geralico, A. de Sitter spacetime: effects of metric perturbations on geodesic motion. Gen Relativ Gravit 44, 467–490 (2012). https://doi.org/10.1007/s10714-011-1287-2

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  • DOI: https://doi.org/10.1007/s10714-011-1287-2

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