Circular holonomy in the Taub-NUT spacetime
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
Parallel transport around closed circular orbits in the equatorial plane of the Taub-NUT spacetime is analyzed to reveal the effect of the gravitomagnetic monopole parameter on circular holonomy transformations. Investigating the boost/rotation decomposition of the connection 1-form matrix evaluated along these orbits, one finds a situation that reflects the behavior of the general orthogonally transitive stationary axisymmetric case and indeed along Killing trajectories in general.
Cite
@article{arxiv.gr-qc/0210003,
title = {Circular holonomy in the Taub-NUT spacetime},
author = {Donato Bini and Christian Cherubini and Robert T. Jantzen},
journal= {arXiv preprint arXiv:gr-qc/0210003},
year = {2009}
}
Comments
9 pages, LaTeX iopart class, no figures