How current loops and solenoids curve space-time
Abstract
The curved space-time around current loops and solenoids carrying arbitrarily large steady electric currents is obtained from the numerical resolution of the coupled Einstein-Maxwell equations in cylindrical symmetry. The artificial gravitational field associated to the generation of a magnetic field produces gravitational redshift of photons and deviation of light. Null geodesics in the curved space-time of current loops and solenoids are also presented. We finally propose an experimental setup, achievable with current technology of superconducting coils, that produces a phase shift of light of the same order of magnitude than astrophysical signals in ground-based gravitational wave observatories.
Cite
@article{arxiv.1504.00333,
title = {How current loops and solenoids curve space-time},
author = {A. Füzfa},
journal= {arXiv preprint arXiv:1504.00333},
year = {2016}
}
Comments
12 pages, 8 figures, accepted for publication in PRD