Charged test particle scattering and effective one-body metrics with spin
Abstract
Using recently developed techniques, we consider weak-field test particle scattering angle calculations in two distinct settings: Charged test particles in spacetimes of charged sources and effective one-body theory with spin. We present scattering angle calculations up to O (G4) of charged particles in the Kerr-Newman metric, including electromagnetic interactions up to second order in charge. Coulomb scattering is also discussed, and the well-known Darwin scattering formula is rederived by resummation. An effective one-body metric for a Kerr-Schwarzschild binary is constructed in a post-Minkowskian framework up to O (G2) and first order in spin. Facilitated by explicit scattering calculations, our approach is equivalent with existing literature through gaugelike transformations. Finally, we investigate if the Newman-Janis algorithm applied to an effective one-body metric of nonspinning binaries represents a binary system with spin.
- Publication:
-
Physical Review D
- Pub Date:
- July 2023
- DOI:
- 10.1103/PhysRevD.108.024049
- arXiv:
- arXiv:2303.00317
- Bibcode:
- 2023PhRvD.108b4049H
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 24 pages, 3 tables