Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects
| Autor: | Witzany, Vojtěch, Piovano, Gabriel Andres |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Physical Review Letters, 132(17), 171401 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.132.171401 |
| Popis: | Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for the motion of compact objects in gravitational-wave inspirals. As a first approximation, this effect is captured in the motion of a spinning test particle. We solve the equations motion of a spinning particle to leading order in spin in arbitrary static and spherically symmetric space-times in terms of one-dimensional closed-form integrals. This solves the problem and proves its integrability in a wide range of modified gravities and near exotic compact objects. Then, by specializing to the case of bound orbits in Schwarzschild space-time, we demonstrate how to express the solution in the form of Jacobi elliptic functions. Comment: The notebooks and machine-readable formulas can be found in the repo https://github.com/VojtechW/Analytical-Solution-Spinning-particle-Spherical |
| Databáze: | arXiv |
| Externí odkaz: |
|