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arXiv · 1701.06402

Asymptotically flat multi-black lenses

Shinya Tomizawa·Taika Okuda
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Abstract

We present an asymptotically flat and stationary multi-black lens solution with bi-axisymmetry of $U(1)\times U(1)$ as a supersymmetric solution in the five-dimensional minimal ungauged supergravity. We show that the spatial cross section of each degenerate Killing horizon admits different lens space topologies of $L(n,1)=S^3/{\mathbb Z_n}$ as well as a sphere $S^3$. Moreover, we show that in contrast to the higher dimensional Majumdar-Papapertrou multi-black hole and multi-BMPV black hole spacetimes, the metric is smooth on each horizon even if the horizon topology is spherical.

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Shinya Tomizawa, Taika Okuda. 2017-01-23. Asymptotically flat multi-black lenses. https://doi.org/10.1103/physrevd.95.064021

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