Gianluca Grignani

Jul 31, 2023 | link.aps.org | Università di Perugia |Largo Enrico Fermi |Gianluca Grignani |Andrea Placidi

Abstract We provide the post-Newtonian (PN) waveform for binary systems in motion along generic planar orbits at 2.5PN accuracy, in terms of the dynamical variables of the effective one-body (EOB) formalism. In addition to the calculation of the higher-order terms for all the contributions to the waveform that have been already considered in previous avatars of EOB models, we also compute the EOB expression of the oscillatory memory terms.

Apr 6, 2023 | link.aps.org | Università di Perugia |Filippo Camilloni |Gianluca Grignani |Troels Harmark

Abstract The dynamics of a binary system moving in the background of a black hole is affected by tidal forces. In this work, for the Kerr black hole, we derive the electric and magnetic tidal moments at quadrupole order, where the latter are computed for the first time in full generality. We make use of these moments in the scenario of a hierarchical triple system made of a Kerr black hole and an extreme-mass ratio binary system consisting of a Schwarzschild black hole and a test particle.