Metrics depending on one variable in D-dimensional Einstein-Maxwell Theory

TL;DR

This paper introduces new one-variable solutions in D-dimensional Einstein-Maxwell theory, encompassing various space-time structures like fluxtubes, domain walls, and cosmologies, with explicit examples in four and five dimensions.

Contribution

It provides novel families of solutions in Einstein-Maxwell theory that depend on a single variable, extending the class of known solutions to include generalized Melvin configurations.

Findings

New solutions depending on one variable for all space-time signatures.

Explicit examples in four and five dimensions.

Solutions include fluxtubes, domain walls, and cosmological models.

Abstract

We present new families of solutions of D-dimensional Einstein-Maxwell theory depending on one variable for all space-time signatures. The solutions found can be thought of as generalized Melvin solutions including fluxtubes, domain walls and cosmological space-times. Explicit examples are given in four and five space-time dimensions.