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Colliding Black Holes: The Close Limit

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arxiv gr-qc/9402039 v1 pith:EO4A62YL submitted 1994-02-22 gr-qc astro-ph

Colliding Black Holes: The Close Limit

Richard H. Price , Jorge Pullin This is my paper
classification gr-qc astro-ph
keywords blackholesclosedatagravitationalnumericalperturbationproblem
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The problem of the mutual attraction and joining of two black holes is of importance as both a source of gravitational waves and as a testbed of numerical relativity. If the holes start out close enough that they are initially surrounded by a common horizon, the problem can be viewed as a perturbation of a single black hole. We take initial data due to Misner for close black holes, apply perturbation theory and evolve the data with the Zerilli equation. The computed gravitational radiation agrees with and extends the results of full numerical computations.

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Cited by 4 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. Black Hole Ringdown Nonlinearities in the Large-D Limit

    gr-qc 2026-06 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.

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

    gr-qc 2026-05 unverdicted novelty 5.0

    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...

  4. Quasi-Normal Modes of Stars and Black Holes

    gr-qc 1999-09 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.