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Colliding black holes: how far can the close approximation go?

6 Pith papers cite this work, alongside 125 external citations. Polarity classification is still indexing.

6 Pith papers citing it
125 external citations · Pith
abstract

We study the head-on collision of two equal-mass momentarily stationary black holes, using black hole perturbation theory up to second order. Compared to first-order results, this significantly improves agreement with numerically computed waveforms and energy. Much more important, second-order results correctly indicate the range of validity of perturbation theory. This use of second-order, to provide ``error bars,'' makes perturbation theory a viable tool for providing benchmarks for numerical relativity in more generic collisions and, in some range of collision parameters, for supplying waveform templates for gravitational wave detection.

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representative citing papers

Black Hole Ringdown Nonlinearities in the Large-D Limit

gr-qc · 2026-06-22 · unverdicted · novelty 6.0

In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.

Quasinormal modes of black holes and black branes

gr-qc · 2009-05-19 · unverdicted · novelty 2.0

Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitational wave observations.

Quasi-Normal Modes of Stars and Black Holes

gr-qc · 1999-09-20 · unverdicted · novelty 2.0

A review summarizing the properties, calculation methods, and astrophysical relevance of quasi-normal modes for Schwarzschild, Reissner-Nordström, Kerr, Kerr-Newman black holes and non-rotating or slowly-rotating stars.

citing papers explorer

Showing 6 of 6 citing papers.

  • GW231123: a Binary Black Hole Merger with Total Mass 190-265 $M_{\odot}$ astro-ph.HE · 2025-07-10 · accept · none · ref 65 · internal anchor

    A new gravitational wave event reveals a binary black hole merger with total mass 190-265 solar masses, indicating black holes can form via gravitational-wave driven mergers beyond standard stellar channels.

  • Foundations of Direct Waves in Schwarzschild Ringdown gr-qc · 2026-07-07 · accept · none · ref 71 · internal anchor

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

  • Highly eccentric non-spinning binary black hole mergers: quadrupolar post-merger waveforms gr-qc · 2026-04-16 · unverdicted · none · ref 173

    Polynomial models for the (2,2) post-merger waveform amplitudes of eccentric non-spinning binary black holes are constructed from numerical-relativity data as functions of symmetric mass ratio and two merger-time dynamical parameters.

  • Black Hole Ringdown Nonlinearities in the Large-D Limit gr-qc · 2026-06-22 · unverdicted · none · ref 13 · internal anchor

    In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.

  • Quasinormal modes of black holes and black branes gr-qc · 2009-05-19 · unverdicted · none · ref 87

    Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitational wave observations.

  • Quasi-Normal Modes of Stars and Black Holes gr-qc · 1999-09-20 · unverdicted · none · ref 101

    A review summarizing the properties, calculation methods, and astrophysical relevance of quasi-normal modes for Schwarzschild, Reissner-Nordström, Kerr, Kerr-Newman black holes and non-rotating or slowly-rotating stars.