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Eccentric-orbit extreme-mass-ratio inspiral gravitational wave energy fluxes to 7PN order

Erik Forseth1, Charles R. Evans1, and Seth Hopper2,3

  • 1Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27599, USA
  • 2School of Mathematics and Statistics and Complex & Adaptive Systems Laboratory, University College Dublin, Belfield, Dublin 4, Ireland
  • 3CENTRA, Departamento de Física, Instituto Superior Técnico IST, Avenida Rovisco Pais 1, 1049 Lisboa, Portugal

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Phys. Rev. D 93, 064058 – Published 24 March, 2016

DOI: https://doi.org/10.1103/PhysRevD.93.064058

Abstract

We present new results through 7PN order on the energy flux from eccentric extreme-mass-ratio binaries. The black hole perturbation calculations are made at very high accuracy (200 decimal places) using a Mathematica code based on the Mano-Suzuki-Takasugi analytic function expansion formalism. All published coefficients in the expansion through 3PN order at lowest order in the mass ratio are confirmed and new analytic and numeric terms are found to high order in powers of e2 at post-Newtonian orders between 3.5PN and 7PN. We also show original work in finding (nearly) arbitrarily accurate expansions for hereditary terms at 1.5PN, 2.5PN, and 3PN orders. An asymptotic analysis is developed that guides an understanding of eccentricity singular factors, which diverge at unit eccentricity and which appear at each PN order. We fit to a model at each PN order that includes these eccentricity singular factors, which allows the flux to be accurately determined out to e→1.

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Phys. Rev. D 93, 064058– Published 24 March, 2016
  • Received 16 December 2015
Article part of CHORUS

© 2016 American Physical Society

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