Gravitational Self Force from Scattering Amplitudes in Curved Space
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909155843899392 |
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| author | Kosmopoulos, Dimitrios Solon, Mikhail P. |
| author_facet | Kosmopoulos, Dimitrios Solon, Mikhail P. |
| contents | 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 ${\cal O}(G^3)$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15304 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gravitational Self Force from Scattering Amplitudes in Curved Space Kosmopoulos, Dimitrios Solon, Mikhail P. High Energy Physics - Theory General Relativity and Quantum Cosmology 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 ${\cal O}(G^3)$. 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. |
| title | Gravitational Self Force from Scattering Amplitudes in Curved Space |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.15304 |