New Charged Black Holes in Five Dimensions

TL;DR

This paper introduces new stationary charged black hole solutions in five-dimensional minimal supergravity, extending previous methods to include electric charge and analyzing their geometric and asymptotic properties.

Contribution

It develops a simple solution-generating technique to add electric charge to stationary solutions in five-dimensional minimal supergravity, leading to new black hole solutions.

Findings

Solutions include black rings with electric and magnetic dipole charge.

New solutions can describe asymptotically locally flat black holes with lens space horizons.

The solutions approach Minkowski space modded out by a discrete group at infinity.

Abstract

We obtain new stationary charged solutions of five-dimensional minimal supergravity. We first obtain purely dipole charged solutions, by extending a technique that we developed for five-dimensional Ricci-flat metrics in a previous paper, which could be viewed as being analogous to a four-dimensional construction by Demianski and Plebanski. The further introduction of electric charge is achieved by means of a solution-generating technique, which exploits the global SL(2,R) symmetry of five-dimensional minimal supergravity reduced on a timelike direction to four dimensions. We present this procedure in detail, since it provides a particularly simple general way of adding charge to any stationary solution of five-dimensional minimal supergravity. The new charged solutions we obtain limit in special cases to black rings carrying electric and magnetic dipole charge, or to charged Myers-Perry rotating black holes. We analyse the general solutions in detail, showing that they can describe asymptotically locally flat black holes whose horizon is a lens space L(n;m)=S^3/\Gamma(n;m). At infinity they approach Minkowski_5/\Gamma(m;n).