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Radiative losses from unbound orbits at quadratic order in spin from MPM formalism
Donato Bini, Giorgio Di Russo
We study the spinning two-body system in the aligned spin case for hyperboliclike motions computing all radiative losses (at the 2PN absolute accuracy and including spin-squared co…
The radial action for massive particles in spherically symmetric geometries: Exact resummation at any PM order
Donato Bini, Giorgio Di Russo
We compute the massive particles radial action along hyperboliclike geodesics in various spherically symmetric spacetimes: the standard Schwarzschild spacetime, its -dimens…
5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation
Donato Bini, Giorgio Di Russo, Veronica Fantini
We study the five-dimensional Schwarzschild-Tangherlini solution, with particular attention to its geodesic structure and massless scalar perturbations. In the probe limit, we pres…
Gravitational waveform from radial infall at the third-and-half Post-Newtonian order
Giorgio Di Russo, Donato Bini
We compute the gravitational waveform associated with a radially infalling particle in a Schwarzschild black hole working in the center-of-mass system and in a post-Newtonian (PN)…
Radial fall: the gravitational waveform up to the second-and-half Post-Newtonian order
Donato Bini, Giorgio Di Russo
We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the as…
Analytic self-force effects on radial infalling particles in the Schwarzschild spacetime: the radiated energy
Donato Bini, Giorgio Di Russo
We compute, at the first self force accuracy level, the radiated energy from a radially infalling particle released from rest in a Schwarzschild spacetime. We examine both the case…