# Gyroscope precession along general timelike geodesics in a Kerr black hole spacetime

## TL;DR

This paper analyzes gyroscope precession along general timelike geodesics in Kerr spacetime, providing a new geometric framework and clarifying the role of Carter observers, extending previous equatorial analyses.

## Contribution

It introduces a novel geometric description of parallel transport along geodesics in Kerr spacetime, emphasizing the Carter observers' role and extending prior equatorial studies.

## Key findings

- Explicit construction of natural frames along geodesics
- Extension of Marck's construction to general geodesics
- Clarification of Carter observers' role in precession

## Abstract

The precession angular velocity of a gyroscope moving along a general geodesic in the Kerr spacetime is analyzed using the geometric properties of the spacetime. Natural frames along the gyroscope world line are explicitly constructed by boosting frames adapted to fundamental observers. A novel geometrical description is given to Marck's construction of a parallel propagated orthonormal frame along a general geodesic, identifying and clarifying the special role played by the Carter family of observers in this general context, thus extending previous discussion for the equatorial plane case.