# Taub-NUT from the Dirac monopole

## TL;DR

This paper derives the Taub-NUT spacetime in Bondi coordinates by incorporating a Dirac monopole gauge field as free data in the characteristic formulation of Einstein's equations for asymptotically flat spacetimes.

## Contribution

It introduces a novel method to obtain the Taub-NUT solution using the characteristic approach with a Dirac monopole gauge field as free data.

## Key findings

- Taub-NUT solution expressed in Bondi coordinates.
- Connection between Maxwell monopole and gravitational solutions.
- Framework for incorporating gauge fields in characteristic Einstein equations.

## Abstract

Writing the metric of an asymptotically flat spacetime in Bondi coordinates provides an elegant way of formulating the Einstein equation as a characteristic value problem. In this setting, we find that a specific class of asymptotically flat spacetimes, including stationary solutions, contains a Maxwell gauge field as free data. Choosing this gauge field to correspond to the Dirac monopole, we derive the Taub-NUT solution in Bondi coordinates.