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gr-qc2026

Radiation-reaction driven dynamics at the third-and-a-half post-Newtonian order in different gauges

Donato Bini, Andrea Geralico, Sara Rufrano Aliberti

We consider the coordinate-dependent definition of the radiation-reaction force at the third-and-a-half post-Newtonian order for general orbits. In order to (partially) determine i…

gr-qc2025

Radiation-reaction correction to scattering binary dynamics at the Next-to-Leading Post-Newtonian Order

Donato Bini, Andrea Geralico, Sara Rufrano Aliberti

We compute the next-to-leading-order radiation-reaction modification to the harmonic coordinate quasi-Keplerian parametrization of the binary dynamics, the two bodies undergoing a…

gr-qc2025

High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system

Donato Bini, Thibault Damour, Andrea Geralico

Starting from the recently derived conservative tail-of-tail action [D. Bini and T. Damour, arXiv:2504.20204 [hep-th]] we compute several dynamical observables of binary systems (D…

gr-qc2024

Post-Minkowskian self-force in the low-velocity limit: scalar field scattering

Donato Bini, Andrea Geralico, Chris Kavanagh +2

In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further l…

gr-qc2024

Conservative binary dynamics beyond order in electrodynamics

Donato Bini, Thibault Damour

We compute the conservative scattering angle of two classical charged particles at the sixth order in electromagnetic coupling, and at the fourth order in velocity, thereby going b…

gr-qc2024

Explicit solution of the gravitational two-body problem at the second post-Minkowskian order

Donato Bini, Thibault Damour, Andrea Geralico

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservativ…