TL;DR
This paper develops a general relativistic model of an infinite solenoid, demonstrating its properties and showing it has a consistent weak-field limit, extending classical electromagnetism into general relativity.
Contribution
It introduces a novel relativistic analogy of the infinite solenoid, bridging classical electromagnetism and general relativity.
Findings
The solution models an infinite current-carrying cylinder in general relativity.
It exhibits a good weak-field limit consistent with classical physics.
Provides a foundation for further studies of electromagnetic structures in curved spacetime.
Abstract
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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