# Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory

## TL;DR

This paper introduces new exact solutions in higher-dimensional Einstein-Maxwell theory, including wormhole-like structures, by embedding Nutku instantons and exploring nonstationary convoluted solutions with a cosmological constant.

## Contribution

It provides novel exact solutions in five and higher dimensions, expanding the understanding of Einstein-Maxwell configurations with complex geometries.

## Key findings

- Solutions are regular almost everywhere.
- Some solutions describe wormhole handles.
- Includes nonstationary solutions with cosmological constant.

## Abstract

We present several new exact solutions in five and higher dimensional Einstein-Maxwell theory by embedding the Nutku instanton. The metric functions for the five-dimensional solutions depend only on a radial coordinate and on two spatial coordinates for the six and higher dimensional solutions. The six and higher dimensional metric functions are convoluted-like integrals of two special functions. We find that the solutions are regular almost everywhere and some spatial sections of the solution describe wormhole handles. We also find a class of exact and nonstationary convoluted-like solutions to the Einstein-Maxwell theory with a cosmological constant.