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Résumé |
The direct detection of gravitational waves has put the relativistic two-body
problem in the spotlight and stimulated progress in perturbative approaches that
provide analytic insight into its dynamics. Two strategies that have been
witnessing interesting developments to this end are the ones based on scattering
amplitudes, which apply to binary scatterings at large impact parameter, and on
black-hole perturbation theory, which applies to extreme-mass-ratio binaries. In
this talk, I will discuss how two very different kinds of differential equations
have been playing a key role in such recent developments, in particular with the
goal of characterizing the gravitational waves emitted and (re)absorbed by these
systems. |
