Gravity seminar - David Trestini Seminar

Abstract: The main observable for the detection of gravitational waves in general relativity generated by compact binary systems is the phase of the wave. Within the post-Newtonian approximation, where the objects are assumed to be well-separated and to have small velocities, one can obtain analytical expressions for the phase as a series in $(v/c)^2$. Before this work, the phase (as well as the complete waveform) in the case of circular orbits was known up to 3.5 post-Newtonian (PN) order. In this talk, I will discuss our recent computation of the flux and phase for circular orbits at 4.5PN order, as well as the $(\ell,m)=(2,2)$ mode at 4PN order. I will give a brief overview of the different steps leading to this results, then will discuss more in detail my work on the tails of memory, which are cubic interactions in the post-Minkowskian expansion.