Gravitational self force from scattering amplitudes in curved space

Journal Article · 29 February 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2024)125 · OSTI ID:2576000

Kosmopoulos, Dimitrios ; Solon, Mikhail

Abstract We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with massmorbiting in the background spacetime induced by a heavy gravitational source with massM. Observables are organized as an expansion inm/Mto all orders inG— the gravitational self-force expansion. An essential component of our analysis is the backreaction of the heavy source which we capture by including the associated light degrees of freedom. As illustration we consider a Schwarzschild background and verify geodesic motion as well as the first-order self-force correction to two-body scattering through$$$$\mathcal{O}$$$$(G³). Amplitudes in curved space offer several advantages, and further developments along these lines may advance the computation of gravitational-wave signals for extreme-mass-ratio inspirals.

• Research Organization: Univ. of California, Los Angeles, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0024224
• OSTI ID: 2576000
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2024; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: EN