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Relativistic Solenoids

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arxiv gr-qc/0502112 v1 pith:FKDWQ7O2 submitted 2005-02-25 gr-qc

Martin Zofka , Jiri Langer This is my paper · ORCID
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keywords cylinderelectricinfiniterelativisticanalogyaxischargeconstruct
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We construct a general relativistic analogy of an infinite solenoid, i.e., of an infinite cylinder with zero electric charge and non-zero electric current in the direction tangential to the cylinder and perpendicular to its axis. We further show that the solution has a good weak-field limit.

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Cited by 1 Pith paper

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    The paper works out the geometry, flux, and geodesics of the Melvin magnetic universe with a positive cosmological constant, showing its two-sphere section is compact and carries a conical singularity, with a Freund-R...

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