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SUMMARY:Predicting gravitational waveforms: tails-of-memory and the 4.5PN 
 phase - David Trestini\, Paris Institute of Astrophysics
DTSTART:20230217T130000Z
DTEND:20230217T140000Z
UID:TALK196243@talks.cam.ac.uk
CONTACT:Isobel Romero-Shaw
DESCRIPTION:The main observable for the detection of gravitational waves g
 enerated by compact binary systems is the phase of the wave. Within the po
 st-Newtonian approximation\, where the objects are assumed to be well-sepa
 rated and to have small velocities\, one can obtain analytical expressions
  for the phase as a series in (v/c)^2.  Currently\, the phase (as well as 
 the complete waveform) is known  up to 3.5 post-Newtonian (PN) order. In t
 his talk\, I will review the history of the longstanding project of obtain
 ing the phase at 4.5PN\, as well as the gravitational waves modes at 4PN o
 rder. I will then focus on recent advances\, in particular the non-linear 
 contribution of the tails-of-memory. This is a hybrid\, higher-order effec
 t that combines the tails\, i.e. linear gravitational waves that scatter a
 gainst the curved background\, and the memory effect\, due to the re-radia
 tion of gravitational waves by gravitational waves themselves. Finally\, I
  will discuss the last steps we are performing for the soon-to-come expres
 sion of the 4.5PN phase.
LOCATION:Potter room/Zoom
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