Exact solutions to the first-order perturbation problem in a de Sitter background

Gal’tsov, D.V.; Núñez, Darío

doi:10.1007/bf00764098

Cited by 4 publications

(1 citation statement)

References 8 publications

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“…Although this problem have been already addressed in the literature (see, e.g., Ref. [16], where the perturbation equations for fields of different spin have been solved by using the technique of Debye potentials), we are are interested here in investigating the existence of closed-form, i.e. Liouvillian, solutions to the perturbation equations.…”

Section: Teukolsky Equationmentioning

confidence: 99%

de Sitter spacetime: effects of metric perturbations on geodesic motion

2011

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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.Comment: IOP macros, 10 figure

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Section: Teukolsky Equationmentioning

confidence: 99%

de Sitter spacetime: effects of metric perturbations on geodesic motion

2011

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Schwarzschild-de Sitter space and its perturbations

Guven

Núñez

1990

Phys. Rev. D

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Generalized Schwarzschild Spacetimes with a Linear Term and a Cosmological Constant

Lecian

2024

Universe

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Particular Kottler spacetimes are analytically investigated. The investigated spacetimes are spherically symmetric nonrotating spacetimes endowed with a Schwarzschild solid-angle element. SchwarzschildNairiai spacetimes, Schwarzschild spacetimes with a linear term, and Schwarzschild spacetimes with a linear term and a cosmological constant are studied. The infinite-redshift surfaces are analytically written. To this aim, the parameter spaces of the models are analytically investigated, and the conditions for which the analytical radii are reconducted to the physical horizons are used to set and to constrain the parameter spaces. The coordinate-singularity-avoiding coordinate extensions are newly written. Schwarzschild spacetimes with a linear term and a cosmological constant termare analytically studied, and the new singularity-avoiding coordinate extensions are detailed. The new roles of the linear term and of the cosmological constant term in characterizing the Schwarzschild radius are traced. The generalized Schwarzschild–deSitter case and generalized Schwarzschild–anti-deSitter case are characterized in a different manner. The weak field limit is newly recalled. The embeddings are newly provided. The quantum implementation is newly envisaged. The geometrical objects are newly calculated. As a result, for the Einstein field equations, the presence of quintessence is newly excluded. The Birkhoff theorem is newly proven to be obeyed.

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Exact solutions to the first-order perturbation problem in a de Sitter background

Cited by 4 publications

References 8 publications

de Sitter spacetime: effects of metric perturbations on geodesic motion

de Sitter spacetime: effects of metric perturbations on geodesic motion

Schwarzschild-de Sitter space and its perturbations

Generalized Schwarzschild Spacetimes with a Linear Term and a Cosmological Constant

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