# Bonnor-Melvin universe with a cosmological constant

## TL;DR

This paper extends the Bonnor-Melvin solution of Einstein-Maxwell equations to include a cosmological constant, resulting in a cylindrically symmetric, static spacetime that models a homogeneous magnetic field.

## Contribution

It introduces a generalized Bonnor-Melvin universe with a cosmological constant, enhancing the understanding of magnetic fields in curved spacetime.

## Key findings

- The solution remains cylindrically symmetric and static.
- It represents a truly homogeneous magnetic field.
- The spacetime generalizes the classic Bonnor-Melvin universe.

## Abstract

We generalize the well-known Bonnor-Melvin solution of the Einstein-Maxwell equations to the case of a non-vanishing cosmological constant. The spacetime is again cylindrically symmetric and static but, unlike the original solution, it truly represents a homogeneous magnetic field.