EMRIs and the relativistic loss-cone: The curious case of the fortunate
  coincidence
  Extreme mass ratio inspiral (EMRI) events are vulnerable to perturbations by
the stellar background, which can abort them prematurely by deflecting EMRI
orbits to plunging ones that fall directly into the massive black hole (MBH),
or to less eccentric ones that no longer interact strongly with the MBH. A
coincidental hierarchy between the collective resonant Newtonian torques due to
the stellar background, and the relative magnitudes of the leading-order
post-Newtonian precessional and radiative terms of the general relativistic
2-body problem, allows EMRIs to decouple from the background and produce
semi-periodic gravitational wave signals. I review the recent theoretical
developments that confirm this conjectured fortunate coincidence, and briefly
discuss the implications for EMRI rates, and show how these dynamical effects
can be probed locally by stars near the Galactic MBH.
