Pith. sign in

REVIEW 15 cited by

Merging black holes with Cauchy-characteristic matching: Computation of late-time tails

Not yet reviewed by Pith; the record is open.

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 2412.06906 v2 pith:KRYBK327 submitted 2024-12-09 gr-qc astro-ph.HEhep-th

Merging black holes with Cauchy-characteristic matching: Computation of late-time tails

classification gr-qc astro-ph.HEhep-th
keywords late-timetailsblackcauchy-characteristicmatchingsystematicaccurateanswer
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Cauchy-characteristic matching (CCM) is a numerical-relativity technique that solves Einstein's equations on an effectively infinite computational domain, thereby eliminating systematic errors associated with artificial boundary conditions. Whether CCM can robustly handle fully nonlinear, dynamical spacetimes, such as binary black hole (BBH) mergers, has remained an open question. In this work, we provide a positive answer by presenting nine successful CCM simulations of BBHs; and demonstrate a key application of this method: computing late-time tails. Our results pave the path for systematic studies of late-time tails in BBH systems, and for producing highly accurate waveforms essential to next-generation gravitational-wave detectors.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 15 Pith papers

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

  1. Foundations of Direct Waves in Schwarzschild Ringdown

    gr-qc 2026-07 accept novelty 7.0

    Direct waves in filtered Schwarzschild ringdown are the anti-causal filter-pole contribution sourced by near-horizon trajectory dynamics and do not vanish.

  2. Spectral suppression of black hole ringdown tails

    gr-qc 2026-06 unverdicted novelty 7.0

    Spectral properties of oscillatory sources suppress the branch-cut contribution to black hole ringdown tails, explaining their absence in quasi-circular mergers.

  3. 3d Summation-by-Parts scheme for Linear Wave Equations on Hyperboloidal Slices

    gr-qc 2026-06 unverdicted novelty 7.0

    Derives a provably stable 3D SBP scheme for linear waves on hyperboloidal slices using compactification, rescaling, and abstract dissipation in spherical polar coordinates.

  4. Radiation outer boundary conditions and near-to-far field signal transformations for the Bardeen-Press equation

    gr-qc 2026-04 unverdicted novelty 7.0

    Exact transparent radiation boundary conditions and near-to-far field teleportation kernels are derived for the Bardeen-Press equation, approximated via exponential sums with error bounds, and shown to eliminate late-...

  5. Can Oscillatory and Persistent Nonlinearities Be Bridged in Black Hole Ringdown?

    gr-qc 2026-03 unverdicted novelty 6.0

    Quadratic quasinormal modes and Christodoulou memory effect are related through bridge coefficients depending primarily on remnant black hole parameters.

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

    gr-qc 2026-01 unverdicted novelty 6.0

    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.

  7. Quasinormal modes from numerical relativity with Bayesian inference

    gr-qc 2025-10 conditional novelty 6.0

    A catalog-trained Gaussian-process noise model converts numerical-relativity waveforms into Bayesian quasinormal-mode fits with analytic posteriors and mode significances, demonstrated on CCE simulations.

  8. GW250114 reveals black hole horizon signatures

    gr-qc 2025-10 conditional novelty 6.0

    The merger signal of GW250114 contains a residual 'direct wave' component whose frequency and damping match the remnant horizon's rotation frequency and surface gravity.

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

    gr-qc 2025-09 accept novelty 6.0

    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.

  10. On the universality of late-time ringdown tail

    gr-qc 2025-05 unverdicted novelty 6.0

    Analytical proof establishes universality of late-time ringdown tails for any effective potential decaying as 1/r², with different power-law behavior for 1/r^α (1<α<2), covering charged black holes, Kerr, exotic objec...

  11. Constraining deviations from the Teukolsky equation with GW250114

    gr-qc 2026-07 conditional novelty 5.0

    GW250114's fundamental ringdown mode bounds theory-agnostic deviations from the Teukolsky equation to be consistent with zero at characteristic scales of 60-100 km.

  12. Prompt Response from Plunging Sources in Schwarzschild Spacetime

    gr-qc 2026-04 unverdicted novelty 5.0

    The prompt response is ~1.2 times stronger than quasinormal mode excitation during inspiral and enables 99% accurate reconstruction of the full inspiral-merger-ringdown waveform when combined with other components.

  13. Can Oscillatory and Persistent Nonlinearities Be Bridged in Black Hole Ringdown?

    gr-qc 2026-03 unverdicted novelty 5.0

    Quadratic quasinormal modes and the memory effect in black hole ringdown are related through bridge coefficients that depend primarily on remnant black hole parameters.

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

    gr-qc 2025-11 conditional novelty 5.0

    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.

  15. Quasinormal mode content of binary black hole ringdowns

    gr-qc 2025-10 conditional novelty 5.0

    A Bayesian, evidence-based analysis of 13 simulated black-hole ringdowns tabulates which quasinormal overtones, retrograde modes, and nonlinear (quadratic and cubic) modes are present at each start time, and finds no ...