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Asymptotics of Schwarzschild black hole perturbations

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arxiv 0911.2450 v2 pith:6MYIKRAX submitted 2009-11-12 gr-qc

classification gr-qc
keywords blackdomaingravitationalholehyperboloidalperturbationsschwarzschildapplications
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We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge-Wheeler-Zerilli equations in time domain using hyperboloidal surfaces and a compactifying radial coordinate. We stress the importance of including the asymptotic region in the computational domain in studies of gravitational radiation. The hyperboloidal approach should be helpful in a wide range of applications employing black hole perturbation theory.

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Cited by 2 Pith papers

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

  1. Semilinear wave equations in homothetic hyperboloidal coordinates and tail decay

    gr-qc 2026-08 conditional novelty 6.0 of 10

    Homothetic hyperboloidal coordinates give semilinear wave tails the same exponential decay rate at every compactified radius, removing the late-time resolution bottleneck.

  2. Analysis of late-time tails in spin-aligned eccentric binary black hole mergers

    gr-qc 2025-11 conditional novelty 5.0 of 10

    Late-time gravitational-wave tails from eccentric, spin-aligned black hole mergers decay as t^-(l+4) for psi4 in all six modes studied, with same-l modes sharing identical exponents.

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