Black hole geodesic parallel transport and the Marck recipe for isolating cumulative precession effects
arXiv:1807.10085 · doi:10.1103/PhysRevD.99.064041
Abstract
The Wigner rotations arising from the combination of boosts along two different directions are rederived from a relative boost point of view and applied to gyroscope spin precession along timelike geodesics in a Kerr spacetime, clarifying the geometrical properties of Marck's recipe for describing parallel transport along such world lines expressed in terms of the constants of the motion. His final angular velocity isolates the cumulative spin precession angular velocity independent of the spacetime tilting required to keep the spin 4-vector orthogonal to the gyro 4-velocity. As an explicit example the cumulative precession effects are computed for a test gyroscope moving along both bound and unbound equatorial plane geodesic orbits.
18 pages, RevTex macros
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Cited by in corpus (4)
- Analytic solutions for parallel transport along generic bound geodesics in Kerr spacetime
- Godel spacetime: elliptic-like geodesics and gyroscope precession
- Spin dynamics of moving bodies in rotating black hole spacetimes
- Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits