Speaker : M. Colleoni

Title : Gravitational self-force along marginally bound orbits in Schwarzschild spacetime

Abstract : We present a first computation of the gravitational self-force along marginally bound orbits in Schwarzschild spacetime. We computed the conservative self-force correction to the azimuthal frequency of the innermost bound circular orbit (IBCO). The calculation required an integration of the self-force along a marginally bound (zero-binding-energy) orbit starting from infinity. Our result is consistent with the one that would follow by applying the so-called "first law of binary black hole mechanics" to the IBCO. We also describe how our numerical framework might be used to inform the conservative sector of the EOB model.