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Gravitational self force from scattering amplitudes in curved space

Published inThe journal of high energy physics, vol. 2024, no. 3, 125
Publication date2024-03-21
First online date2024-03-21
Abstract

We employ scattering amplitudes in curved space to model the dynamics of a light probe particle with mass m orbiting in the background spacetime induced by a heavy gravitational source with mass M . Observables are organized as an expansion in m/M to all orders in G — 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 $$\mathcal{O}$$ ( G 3 ). 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.

Citation (ISO format)
KOSMOPOULOS, Dimitrios, SOLON, Mikhail P. Gravitational self force from scattering amplitudes in curved space. In: The journal of high energy physics, 2024, vol. 2024, n° 3, p. 125. doi: 10.1007/jhep03(2024)125
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Additional URL for this publicationhttps://link.springer.com/10.1007/JHEP03(2024)125
Journal ISSN1029-8479
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