# Asymptotically flat multi-black lenses

## TL;DR

This paper constructs a new class of supersymmetric, asymptotically flat multi-black lens solutions in five-dimensional supergravity, featuring diverse horizon topologies and smooth metrics on horizons, expanding understanding of higher-dimensional black hole configurations.

## Contribution

It introduces the first explicit supersymmetric multi-black lens solutions with various horizon topologies in five-dimensional supergravity.

## Key findings

- Solutions are asymptotically flat and stationary with bi-axisymmetry.
- Horizon topologies include lens spaces and spheres, with smooth metrics on horizons.
- Contrasts with higher-dimensional multi-black hole solutions by maintaining smoothness on spherical horizons.

## 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.