On the gravitomagnetic clock effect
General Relativity and Quantum Cosmology
2010-11-19 v1
Abstract
General relativity predicts that two freely counter-revolving test particles in the exterior field of a central rotating mass take different periods of time to complete the same full orbit; this time difference leads to the gravitomagnetic clock effect. The effect has been derived for circular equatorial orbits; moreover, it has been extended via azimuthal closure to spherical orbits around a slowly rotating mass. In this work, a general formula is derived for the main gravitomagnetic clock effect in the case of slow motion along an arbitrary {\it elliptical} orbit in the exterior field of a slowly rotating mass. Some of the implications of this result are briefly discussed.
Cite
@article{arxiv.gr-qc/0110055,
title = {On the gravitomagnetic clock effect},
author = {Bahram Mashhoon and Lorenzo Iorio and Herbert Lichtenegger},
journal= {arXiv preprint arXiv:gr-qc/0110055},
year = {2010}
}
Comments
LaTeX file, 2 figures, 15 pages