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arXiv · 1803.11470

A Kaluza-Klein black lens in five dimensions

Shinya Tomizawa
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Abstract

We obtain a supersymmetric Kaluza-Klein black lens solution in Taub-NUT space in the five-dimensional minimal ungauged supergravity. It is shown that the spacetime has a degenerate horizon with the spatial cross section of the lens space topology L(n,1) and looks like the four-dimensional Minkowski spacetime in the neighborhood of spatial infinity. In contrast to the horizon topology, from a five-dimensional point of view, the spatial infinity has the topology of S^3 rather than the lens space. For this reason, this solution has an asymptotically flat limit. We discuss several properties of such a black lens, in particular, the effect by the compactification of an extra-dimension and some physical differences from the asymptotically flat supersymmetric black lens which has recently been found.

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Shinya Tomizawa. 2018-03-29. A Kaluza-Klein black lens in five dimensions. https://doi.org/10.1103/physrevd.98.024012

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