hide
Free keywords:
General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
Abstract:
This article provides the details on the technical derivation of the
gravitational waveform and total gravitational-wave energy flux of non-spinning
compact binary systems to the 4PN (fourth post-Newtonian) order beyond the
Einstein quadrupole formula. In particular: (i) we overview the link between
the radiative multipole moments measured at infinity and the source moments in
the framework of dimensional regularization; (ii) we compute special
corrections to the source moments due to "infrared" commutators arising at the
4PN order; (iii) we derive a "post-adiabatic" correction needed to evaluate the
tail integral with 2.5PN relative precision; (iv) we discuss the relation
between the binary's orbital frequency in quasi-circular orbit and the
gravitational-wave frequency measured at infinity; (v) we compute the
hereditary effects at the 4PN order, including those coming from the recently
derived tails-of-memory; and (vi) we describe the various tests we have
performed to ensure the correctness of the results. Those results are collected
in an ancillary file.
