# Topology of the Misner space and its \(g\)-boundary

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## Abstract

The Misner space is a simplified 2-dimensional model of the 4-dimensional Taub-NUT space that reproduces some of its pathological behaviours. In this paper we provide an explicit base of the topology of the complete Misner space \(\mathbb {R}^{1,1}/boost\). Besides we prove that some parts of this space, that behave like topological boundaries, are equivalent to the \(g\)-boundaries of the Misner space.

## Keywords

Misner space g-Boundary Spacetime topology## Notes

### Acknowledgments

The authors are very grateful to Juan Margalef Roig and Miguel Sánchez Caja for their useful comments and support, and specially to Fernando Barbero and Robert Geroch for their patience, comments and priceless help. This work has been supported by the Spanish MINECO research Grant FIS2012-34379 and the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042).

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