Cylindrical spacetimes due to radial magnetic fields
Ji\v{r}\'i Vesel\'y, Martin \v{Z}ofka

TL;DR
This paper explores exact solutions for cylindrically symmetric, static electrovacuum spacetimes influenced by perpendicular magnetic fields, extending previous work to include various classes and the cosmological constant.
Contribution
It provides new classes of exact solutions for magnetic-field-induced cylindrically symmetric spacetimes, including effects of the cosmological constant.
Findings
Derived several classes of exact solutions
Analyzed the influence of magnetic fields on spacetime structure
Extended previous models to include cosmological constant
Abstract
We continue our previous study of cylindrically symmetric, static electrovacuum spacetimes generated by a magnetic field, involving optionally the cosmological constant, and investigate several classes of exact solutions. These spacetimes are due to magnetic fields that are perpendicular to the axis of symmetry.
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