Cylindrical spacetimes due to radial magnetic fields

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.

Keywords

• Einstein–Maxwell equations
• cylindrical symmetry
• magnetic field
• cosmological constant