Cosmological magnetic field: the boost-symmetric case

Abstract

We find a class of cylindrically symmetric, static electrovacuum spacetimes generated by a nonhomogeneous magnetic field and involving the cosmological constant and one additional parameter, which determine uniquely the strength of the magnetic field. We provide a simple model of a source producing the field.

Keywords

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