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Analytical high-order post-Newtonian expansions for extreme mass ratio binaries

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arxiv 1503.02334 v3 pith:GBRA6OX6 submitted 2015-03-08 gr-qc

Chris Kavanagh , Adrian C. Ottewill , Barry Wardell This is my paper · ORCID
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keywords post-newtonianexpansionsmethodseriescomputationsdevelopgeneratingmass
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abstract

We present analytic computations of gauge invariant quantities for a point mass in a circular orbit around a Schwarzschild black hole, giving results up to 15.5 post-Newtonian order in this paper and up to 21.5 post-Newtonian order in an online repository. Our calculation is based on the functional series method of Mano, Suzuki and Takasugi (MST) and a recent series of results by Bini and Damour. We develop an optimised method for generating post-Newtonian expansions of the MST series, enabling significantly faster computations. We also clarify the structure of the expansions for large values of $\ell$, and in doing so develop an efficient new method for generating the MST renormalised angular momentum, $\nu$.

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Cited by 2 Pith papers

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

  1. Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole

    gr-qc 2024-11 conditional novelty 7.0 of 10

    The paper derives 12PN flux formulas for inclined spherical Kerr orbits, exact in spin and inclination.

  2. 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.

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