Analytic solutions for the motion of spinning particles near spherically symmetric black holes and exotic compact objects

• DOI: 10.48550/arxiv.2308.00021
• Publication Date: 2023-01-01
• Authors: Vojtěch Witzany; Gabriel Andres Pi...
• Keywords: Black hole (networking)

Rapidly rotating bodies moving in curved space-time experience the so-called spin-curvature force, which becomes important for motion of compact objects gravitational-wave inspirals. As a first approximation, this effect is captured spinning test particle. We solve equations particle to leading order spin arbitrary static and spherically symmetric space-times terms one-dimensional closed-form integrals. This solves problem proves its integrability wide range modified gravities near exotic objects. Then, by specializing case bound orbits Schwarzschild space-time, we demonstrate how express solution form Jacobi elliptic functions.