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Improved filters for gravitational waves from inspiralling compact binaries

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arxiv gr-qc/9708034 v1 pith:FLW2GLQJ submitted 1997-08-18 gr-qc

classification gr-qc
keywords waveapproximantsp-approximantspost-newtonianaccuratebinariescompactforms
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The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms, called P-approximants, is constructed based on the following two inputs: (a) The introduction of two new energy-type and flux-type functions e(v) and f(v), respectively, (b) the systematic use of Pade approximation for constructing successive approximants of e(v) and f(v). The new P-approximants are not only more effectual (larger overlaps) and more faithful (smaller biases) than the standard Taylor approximants, but also converge faster and monotonically. The presently available O(v/c)^5-accurate post-Newtonian results can be used to construct P-approximate wave forms that provide overlaps with the exact wave form larger than 96.5% implying that more than 90% of potential events can be detected with the aid of P-approximants as opposed to a mere 10-15 % that would be detectable using standard post-Newtonian approximants.

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Cited by 4 Pith papers

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

  1. From the confluent Heun equation to a new factorized and resummed gravitational waveform for circularized, nonspinning, compact binaries

    gr-qc 2026-02 conditional novelty 7.0 of 10

    A new resummation absorbs all test-mass logarithms and transcendental numbers into closed-form factors, leaving rational polynomial waveform corrections up to 10PN.

  2. A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity

    gr-qc 2024-12 conditional novelty 7.0 of 10

    A geometric template bank including eccentricity recovers moderately eccentric BNS/NSBH signals with less than 6% loss, while quasi-circular banks miss up to 40%.

  3. Post-Newtonian templates for phase evolution of spherical extreme mass ratio inspirals

    gr-qc 2024-11 conditional novelty 6.0 of 10

    A 12PN analytic phase model for quasi-spherical inclined EMRIs in Kerr spacetime is presented, and TaylorT1 is found to converge fastest among the time-domain approximants.

  4. Strong Field Scattering of Black Holes: Assessing Resummation Strategies

    gr-qc 2024-11 conditional novelty 5.0 of 10

    High-energy equal-mass black hole scattering data show that L-resummation, weob, and SEOB-PM models all develop pathological behavior, with NR-calibrated pseudo-5PM corrections and Padé-resummed EOB potentials offerin...

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