Abhay Ashtekar - Compact binary coalescences and the BMS group
Jurekfest 2019 - day 1, lecture 1.
Speaker: Abhay Ashtekar (introduction by Jurek Lewandowski).
Title: Compact binary coalescences and the BMS group.
Abstract: Throughout his career Jurek Lewandowski has been drawn to null surfaces, as they feature prominently in general relativity as non-expanding horizons, in the Trautmann–Bondi approach to gravitational waves, and as boundaries I ± in Penrose’s conformal completion of asymptotically flat space-times. As an example of the science inspired by 3 decades of interactions with Jurek, I will focus on \mathscr{I}_{\pm} that serves as the natural home for waveforms used by the LIGO/Virgo collaboration to detect compact binary coalescences (CBCs), estimate the parameters of the binaries, and test general relativity. It turns out that key geometrical structures at \mathscr{I}_{+} associated with the BMS group are overlooked by the gravitational wave community at large. I will explain how these structures can be used as powerful tools to test the accuracy of waveforms in the template banks, and comment on the subtle issue of angular momentum in presence of gravitational waves.
Slides: http://jurekfest.fuw.edu.pl/slides/as...
Link to conference's webpage: http://jurekfest.fuw.edu.pl.