Topology of the Misner Space and its g-boundary

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.

17 pages, 13 images (new versions update bibliography and correct some minor typos)

References in corpus (2)

• Visualizing curved spacetime
• Hausdorff separability of the boundaries for spacetimes and sequential spaces

Cited by in corpus (5)

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