Gravitational self force from scattering amplitudes in curved space

• DOI: 10.1007/jhep03(2024)125
• Publication Date: 2024-03-22T19:02:27Z
• Authors: Dimitrios Kosmopo...; Mikhail P. Solon
• Keywords: Massive gravity

A bstract We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with mass m orbiting background spacetime induced by heavy gravitational source M . Observables are organized as an expansion m/M all orders G — self-force expansion. An essential component our analysis is backreaction which we capture including associated degrees freedom. As illustration consider Schwarzschild and verify geodesic motion well first-order correction two-body through $$\mathcal{O}$$ ( 3 ). Amplitudes offer several advantages, further developments along these lines may advance computation gravitational-wave signals for extreme-mass-ratio inspirals.