Talk detail

Participant	Faye, Guillaume
Institution	Institut d'Astrophysique de Paris - 98bis boulevard Arago - Paris - - France

Session	BN6	Accepted		Order	Time
Talk	Oral abstract	Title	High-order half-integral post-Newtonian coefficients in the redshift factor of black-hole binaries on circular orbits
Coauthors
Abstract	Direct comparison of expressions obtained in the post-Newtonian approximation scheme and in the self-force approach, constructed specifically for relativistic particles in the extreme mass-ratio limit, enables preliminary confirmation of the foundations of both computational methods. Recently, the redshift factor of a black-hole binary moving on exactly circular orbits has been determined by means of self-force techniques to very high accuracy, in the form of a post-Newtonian (PN) expansion. It was shown, interestingly, to contain half-integral PN terms although the dynamics is strictly conservative. Those terms, first arising at the 5.5PN order, actually originate from the so-called "tail-of-tail" integrals. Using the general post-Newtonian iterative algorithm in harmonic coordinates, we shall discuss their nature and show how to compute them at the next-to-next-to-leading order.
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