Supersymmetric black lenses in five dimensions

Abstract

We present an asymptotically flat supersymmetric black lens solution with the horizon topology L(n, 1) = S 3 /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.

Instability of supersymmetric microstate geometries

“…Another family of spacetimes with an evanescent ergosurface are supersymmetric "black lens" solutions [35,36]. A black lens is a black hole with an event horizon of lens space topology.…”

Asymptotically flat multiblack lenses

“…For the black lens solution with a single horizon [45,47], the absence of the Dirac-Misner string among each bubble is a direct consequence of the bubble equations, whereas for the multi-black lens solution obtained here, this is not the case.…”

“…Asymptotically flat and stationary black lens solutions, whose horizon topology is restricted to L(2, 1) = S 3 /Z 2 , were constructed by Kunduri and Lucietti as supersymmetric solutions to the five-dimensional minimal ungauged supergravity [45] and U (1) 3 supergravity [46]. Furthermore, the more general black lenses with the horizon topologies of L(n, 1) = S 3 /Z n (n ≥ 3) were also constructed by one of the present authors in the former theory [47]. The basic strategy to get these supersymmetric black lens solutions is to use the well-known method developed by Gauntlett et al in [6].…”

“…Following the papers on supersymmetric black lenses in [45] and [47], we consider the next harmonic functions with n point sources…”

“…This work is essentially based on the previous works of [45,47], where the strategy is to use the Gibbons-Hawking space as a hyper-Kähler base space and allow the harmonic functions to have n point sources with appropriate coefficients. We show that by imposing appropriate boundary conditions on the parameters, the n point sources denote degenerate Killing horizons with the topologies of different lens spaces L(n i , 1) = S 3 /Z n i (i = 1, · · · , n).…”