Accuracy of the post-Newtonian approximation for extreme mass ratio inspirals from a black-hole perturbation approach

Norichika Sago, Ryuichi Fujita, and Hiroyuki Nakano
Phys. Rev. D 93, 104023 – Published 11 May 2016

Abstract

We revisit the accuracy of the post-Newtonian (PN) approximation and its region of validity for quasicircular orbits of a point particle in the Kerr spacetime, by using an analytically known highest post-Newtonian order gravitational energy flux and accurate numerical results in the black hole perturbation approach. It is found that regions of validity become larger for higher PN order results although there are several local maximums in regions of validity for relatively low-PN order results. This might imply that higher PN order calculations are also encouraged for comparable-mass binaries.

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  • Received 11 January 2016

DOI:https://doi.org/10.1103/PhysRevD.93.104023

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Norichika Sago

  • Faculty of Arts and Science, Kyushu University, Fukuoka 819-0395, Japan

Ryuichi Fujita

  • CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade de Lisboa, Avenida Rovisco Pais 1, Portugal

Hiroyuki Nakano

  • Department of Physics, Kyoto University, Kyoto 606-8502, Japan and Center for Computational Relativity and Gravitation, Rochester Institute of Technology, Rochester, New York 14623, USA

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Vol. 93, Iss. 10 — 15 May 2016

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