New Charged Black Holes in Five Dimensions

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/Γ(n;m). At infinity they approach Minkowski_5/Γ(m;n).

22 pages

References in corpus (5)

• General Kerr-NUT-AdS Metrics in All Dimensions
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• $G_2$ generating technique for minimal D=5 supergravity and black rings
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