English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A small body orbiting a black hole follows a trajectory that, at leadingorder, is a geodesic of the black hole spacetime. Much effort has gone intocomputing "self force" corrections to this motion, arising from the smallbody's own contributions to the system's spacetime. Another correction to themotion arises from coupling of the small body's spin to the black hole'sspacetime curvature. Spin-curvature coupling drives a precession of the smallbody, and introduces a "force" (relative to the geodesic) which shifts thesmall body's worldline. These effects scale with the small body's spin atleading order. In this paper, we show that the equations which governspin-curvature coupling can be analyzed with a frequency-domain decomposition,at least to leading order in the small body's spin. We show how to compute thefrequency of precession along generic orbits, and how to describe the smallbody's precession and motion in the frequency domain. We illustrate thisapproach with a number of examples. This approach is likely to be useful forunderstanding spin coupling effects in the extreme mass ratio limit, and mayprovide insight into modeling spin effects in the strong field for non-extrememass ratios.

Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits