Pith. sign in

REVIEW 9 cited by

Wave Propagation in Gravitational Systems: Late Time Behavior

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv gr-qc/9507035 v1 pith:QDBGMZEG submitted 1995-07-14 gr-qc

E.S.C. Ching , P.T. Leung , W.M. Suen , K. Young This is my paper · ORCID
classification gr-qc
keywords tailtimeclassdependencelateomegaschwarzschildbehavior
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

It is well-known that the dominant late time behavior of waves propagating on a Schwarzschild spacetime is a power-law tail; tails for other spacetimes have also been studied. This paper presents a systematic treatment of the tail phenomenon for a broad class of models via a Green's function formalism and establishes the following. (i) The tail is governed by a cut of the frequency Green's function $\tilde G(\omega)$ along the $-$~Im~$\omega$ axis, generalizing the Schwarzschild result. (ii) The $\omega$ dependence of the cut is determined by the asymptotic but not the local structure of space. In particular it is independent of the presence of a horizon, and has the same form for the case of a star as well. (iii) Depending on the spatial asymptotics, the late time decay is not necessarily a power law in time. The Schwarzschild case with a power-law tail is exceptional among the class of the potentials having a logarithmic spatial dependence. (iv) Both the amplitude and the time dependence of the tail for a broad class of models are obtained analytically. (v) The analytical results are in perfect agreement with numerical calculations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 9 Pith papers

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

  1. Ringdown and echoes from compact objects: Debye series and Debye quasinormal modes

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Introduces Debye series and Debye-QNMs to decompose waveforms from Schwarzschild-star models, achieving early-time convergence and organizing ringdown plus echo packets into individual propagation channels.

  2. Nonlinear tails of massive scalar fields around a black hole

    gr-qc 2026-01 unverdicted novelty 6.0 of 10

    Nonlinear tails of massive scalar fields around black holes decay at the same rate as linear tails during intermediate times, independent of sources or initial conditions.

  3. Black Hole Spectroscopy and Tests of General Relativity with GW250114

    gr-qc 2025-09 accept novelty 6.0 of 10

    GW250114 data confirm the remnant is consistent with a Kerr black hole and bound the dominant quadrupolar mode frequency to within a few percent of the GR prediction, with constraints tighter than prior multi-event catalogs.

  4. The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.

  5. Quasinormal modes of scalar perturbations in Rastall thick brane

    gr-qc 2026-07 conditional novelty 5.0 of 10

    The graviscalar quasinormal mode spectrum and late-time power-law tails of a Rastall thick brane are computed numerically, showing that the Rastall parameter λ controls mode lifetimes and tail exponents.

  6. Ringdown Signatures of Dehnen Dark Matter Halos: Fluid Modes and Detectability with Space-Based Detectors

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Numerical ringdown waveforms for black holes in Dehnen dark matter profiles are generated and analyzed for detectability and parameter inference using second-generation TDI in space-based detectors such as LISA, Taiji...

  7. 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.

  8. Probing black holes via quasinormal modes in a dark energy-induced dark matter

    gr-qc 2024-12 reject novelty 5.0 of 10

    For a dark-energy-induced dark matter black hole metric, quasinormal mode frequencies decrease in real part and damping as η and λG increase, relative to Schwarzschild.

  9. The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective

    gr-qc 2025-07 conditional novelty 4.0 of 10

    Nonlinear ringdown tails in the transverse-traceless gauge decay as t^{-(2ℓ+1)}, and this paper rederives that law from in-in scattering diagrams.

Pith tools