Analytic solutions for the motion of spinning particles near brane-world black hole

TL;DR

This paper derives analytical solutions for the motion of spinning particles near brane-world black holes, revealing how tidal charge and spin influence orbital precession, with implications for gravitational wave studies.

Contribution

It provides the first analytical solutions for spinning particle motion in brane-world spacetime, including effects on orbital precession due to tidal charge and spin.

Findings

Nodal and periastron precession increase as tidal charge decreases.

Periastron precession is amplified by particle spin.

Results can inform gravitational wave modeling of inspirals in brane-world scenarios.

Abstract

The general motion of spinning test particles to the leading order approximation of spin in the brane-world spacetime is investigated. Analytical integrations for the equations of motion and linear shifts in orbital frequency are obtained. As a result, we found that both the nodal precession and the periastron precession become larger when the tidal charge $b$ of brane-world spacetime becomes smaller. For the periastron precession, the effect is further amplified as the spin increases. Our work can potentially be applied to the study of gravitational waveforms of Extreme Mass Ratio Inspirals with spin in brane-world spacetime.