2021/07/23 by Mariana Carrillo-González, Claudia de Rham, Carrillo-González, Mariana +3 · 1 citation
Mathematics · Physics and Astronomy · #Amplitude #Binary number #Classical mechanics #Cosmology and Gravitation Theories #Coupling (piping) #FOS: Physical sciences #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #General relativity #Gravitation #Gravitational wave #High Energy Physics - Theory (hep-th) #Mathematics #Momentum (technical analysis) #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.2107.11384
published in arXiv (Cornell University) (Cornell University) · 31 pages plus appendices, 4 figures; v2: typos fixed and references added; v3: 1 appendix added, matches published version
openalex publication_date 2021/07/23 · openalex created_date 2021/08/02 · arxiv created 2022/06/25 · arxiv updated 2022/06/28 · openalex updated_date 2026/08/05
Amplitude methods have proven to be a promising technique to perform Post-Minkowskian calculations used as inputs to construct gravitational waveforms. In this paper, we show how these methods can be extended beyond the standard calculations in General Relativity with a minimal coupling to matter. As proof of principle, we consider spinless particles conformally coupled to a gravitational helicity-0 mode. We clarify the subtleties in the matching procedure that lead to the potential for conformally coupled matter. We show that in the probe particle limit, we can reproduce well known results for the field profile. With the scattering amplitudes at hand, we compute the conservative potential and scattering angle for the binary system. We find that the result is a non trivial expansion that involves not only the coupling strengths, but also a non trivial dependence on the energy/momentum of the scattered particles.