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How current loops and solenoids curve space-time · Around

2015

How current loops and solenoids curve space-time

Füzfa, A.

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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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