Electrical Conductivity in General Relativity
General Relativity and Quantum Cosmology
2007-05-23 v1 Astrophysics
Other Condensed Matter
Abstract
The general relativistic kinetic theory including the effect of a stationary gravitational field is applied to the electromagnetic transport processes in conductors. Then it is applied to derive the general relativistic Ohm's law where the gravitomagnetic terms are incorporated. The total electric charge quantity and charge distribution inside conductors carrying conduction current in some relativistic cases are considered. The general relativistic Ohm's law is applied to predict new gravitomagnetic and gyroscopic effects which can, in principle, be used to detect the Lense-Thirring and rotational fields.
Cite
@article{arxiv.gr-qc/0608060,
title = {Electrical Conductivity in General Relativity},
author = {B. J. Ahmedov and M. J. Ermamatov},
journal= {arXiv preprint arXiv:gr-qc/0608060},
year = {2007}
}
Comments
16 pages, 1 figure