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On the final spin from the coalescence of two black holes

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arxiv 0712.3541 v2 pith:KO6YTP4B submitted 2007-12-20 gr-qc astro-ph

classification gr-qcastro-ph
keywords blackspinanalyticcoalescencedataholesnumerical-relativityaccurate
verification ladder T0 review T1 audit T2 compute T3 formal
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We provide a compact analytic formula to compute the spin of the black hole produced by the coalescence of two black holes. The expression, which uses an analytic fit of numerical-relativity data and relies on four assumptions, aims at modelling generic initial spin configurations and mass ratios. A comparison with numerical-relativity simulations already shows very accurate agreements with all of the numerical data available to date, but we also suggest a number of ways in which our predictions can be further improved.

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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. Formation of rotating supergiants via stellar mergers in dense clusters: Implications for black hole natal spins

    astro-ph.HE 2026-07 conditional novelty 6.0 of 10

    Stellar mergers with mass ratio q≳0.3 in young clusters can produce blue-supergiant progenitors that leave black holes with dimensionless spins a≃0.5–0.8, reducing post-merger retention and hierarchical-merger rates.

  2. Identifying Observational Signatures of Flux Eruption Events in Supermassive Black Hole Accretion Flows with Machine Learning

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    Machine learning on simulated images identifies that flux eruption events cause more diffuse, polarized, lower-flux millimeter emission with decreased Q-U loop rotation rate, achieving ~80% accuracy with random forest...

  3. Signatures of a subpopulation of hierarchical mergers in the GWTC-4 gravitational-wave dataset

    gr-qc 2026-01 unverdicted novelty 6.0 of 10

    Using a joint effective-spin and precession-spin model on 155 gravitational-wave events, the authors infer that the hierarchical (second-generation) merger fraction rises sharply above ~46 M_sun and peaks again near 1...

  4. Optimizing Neural Network Surrogate Models: Application to Black Hole Merger Remnants

    gr-qc 2025-01 conditional novelty 6.0 of 10

    A systematically optimized neural network surrogate for black-hole merger remnant properties, NRSur7dq4Remnant_NN, matches the accuracy of the GPR-based NRSur7dq4Remnant while evaluating up to 8 times faster on a CPU ...

  5. Computationally efficient models for the dominant and sub-dominant harmonic modes of precessing binary black holes

    gr-qc 2020-04 conditional novelty 6.0 of 10

    IMRPhenomXPHM is a new computationally efficient phenomenological model for precessing binary black hole gravitational-wave signals that incorporates higher-order modes via twisting-up maps from non-precessing waveforms.

  6. Surrogate models for precessing binary black hole simulations with unequal masses

    gr-qc 2019-05 unverdicted novelty 6.0 of 10

    New surrogate models NRSur7dq4 and RemnantModel accurately predict waveforms and remnant properties for precessing unequal-mass binary black holes up to q=4, outperforming existing models by an order of magnitude.

  7. Constraining deviations from the Teukolsky equation with GW250114

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    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.

  8. Eccentricity Effects on Modeling Dynamic Quantities and Their Correlations in Binary Black Hole Mergers

    gr-qc 2025-01 conditional novelty 5.0 of 10

    Varying the initial orbital phase of an eccentric binary black hole at fixed eccentricity produces an envelope of radiated energy, momentum, and spin, so eccentric mergers span broad domains of remnant properties rela...

  9. Evidence for additional structure in the effective spin distribution hints at multiple formation pathways in GWTC-5.0

    astro-ph.HE 2026-06 unverdicted novelty 4.0 of 10

    GWTC-5.0 analysis finds evidence for structure beyond a non-skewed Gaussian bulk in χ_eff, with suggestive mass-dependent excess of positive over negative spins outside the bulk at 13:1 odds in one mass bin.

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