Analytic Solutions for the Motion of Spinning Particles near Spherically Symmetric Black Holes and Exotic Compact Objects

• DOI: 10.1103/physrevlett.132.171401
• Publication Date: 2024-04-23T14:01:18Z
• Authors: Vojtěch Witzany; Gabriel Andres Pi...
• Keywords: Massive particle; Elliptic integral

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.