How current loops and solenoids curve spacetime

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Abstract

The curved spacetime 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 spacetime 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 as astrophysical signals in ground-based gravitational wave observatories.

Original languageEnglish
Article number024014
Number of pages11
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume93
Issue number2
DOIs
Publication statusPublished - 11 Jan 2016

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solenoids
curves
electric current
Maxwell equation
gravitational waves
gravitational fields
observatories
astrophysics
phase shift
coils
deviation
photons
symmetry
magnetic fields

Cite this

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abstract = "The curved spacetime 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 spacetime 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 as astrophysical signals in ground-based gravitational wave observatories.",
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journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",
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How current loops and solenoids curve spacetime. / Füzfa, André.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 93, No. 2, 024014, 11.01.2016.

Research output: Contribution to journalArticle

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