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arXiv · 1504.00333

How current loops and solenoids curve space-time

A. Füzfa
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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.

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A. Füzfa. 2015-12-14. How current loops and solenoids curve space-time. https://doi.org/10.1103/physrevd.93.024014

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