Holonomy and gravitomagnetism
General Relativity and Quantum Cosmology
2009-11-07 v2
Abstract
We analyze parallel transport of a vector field around an equatorial orbit in Kerr and stationary axisymmetric spacetimes that are reflection symmetric about their equatorial planes. As in Schwarzschild spacetime, there is a band structure of holonomy invariance. The new feature introduced by rotation is a shift in the timelike component of the vector, which is the holonomic manifestation of the gravitomagnetic clock effect.
Keywords
Cite
@article{arxiv.gr-qc/0104049,
title = {Holonomy and gravitomagnetism},
author = {Roy Maartens and Bahram Mashhoon and David Matravers},
journal= {arXiv preprint arXiv:gr-qc/0104049},
year = {2009}
}
Comments
6 pages Latex (IOP style); new results covering stationary axisymmetric spacetimes; version accepted for Class. Quant. Grav