Supersymmetric black lenses in five dimensions

We present an asymptotically flat supersymmetric black lens solution with the horizon topology $L(n,1)=S^3/{\mathbb{Z}}_n$ in the five-dimensional minimal ungauged supergravity. We show that the black lens carries a mass, two independent angular momenta, electric charge, and ($n-1$) magnetic fluxes, among which only the $n+1$ quantities are independent.

Figure 1

Plots of $D_i$’s against ($\rho =\sqrt{x^2+y^2},z$) for $n=4$, $z_1=0$, $k_1=l_1=z_2=1$, $z_2=1$, $z_4=3$ with $k_2\simeq -2.36$, $k_3\simeq -2.88$, $k_4\simeq -3.27$. No naked time machines appear.