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Telling Tails In The Presence Of A Cosmological Constant

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arxiv gr-qc/9611056 v1 pith:ZNYSCLBB submitted 1996-11-24 gr-qc

classification gr-qc
keywords sitterconstantcosmologicalnon-zeroresultsspacetimestailsagreement
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We study the evolution of massless scalar waves propagating on spherically symmetric spacetimes with a non-zero cosmological constant. Considering test fields on both Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter backgrounds, we demonstrate the existence of exponentially decaying tails at late times. Interestingly the l=0 mode asymptotes to a non-zero value, contrasting the asymptotically flat situation. We also compare these results, for l=0, with a numerical integration of the Einstein-Scalar field equations, finding good agreement between the two. Finally, the significance of these results to the study of the Cauchy horizon stability in black hole-de Sitter spacetimes is discussed.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis

    gr-qc 2026-01 unverdicted novelty 7.0 of 10

    ABG-dS black holes show charged superradiant instability exclusively for the spherically symmetric ℓ=0 mode, with growth rates that peak at intermediate Λ and q and rise with Q, differing from RN-dS due to nonlinear e...

  2. The Fate of Nucleated Black Holes in de Sitter Quantum Gravity

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Nucleated maximal-mass black holes in de Sitter space undergo thermal Hawking evaporation in smooth quantum states and return fully to the empty de Sitter vacuum.

  3. Anisotropic matter and nonlinear electromagnetics black holes

    gr-qc 2026-03 unverdicted novelty 5.0 of 10

    Establishes a parameter mapping from anisotropic matter black holes to nonlinear electrodynamics black holes, recovering known solutions like dark matter and scalar hair cases and extending to rotating extremal limits.

  4. Superradiant instability of charged scalar fields in higher-dimensional Reissner-Nordstr\"om-de Sitter black holes

    gr-qc 2019-08 conditional novelty 5.0 of 10

    Charged scalar perturbations of higher-dimensional Reissner-Nordström-de Sitter black holes are superradiantly unstable, with the growth rate increasing with spacetime dimension.

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