Charged, Rotating Black Objects in Einstein-Maxwell-Dilaton Theory in D ≥ 5

Abstract: We show that the general framework proposed by Kleihaus et al. (2015) for the study of asymptotically flat vacuum black objects with k + 1 equal magnitude angular momenta in D ≥ 5 spacetime dimensions (with 0 ≤ k ≤ [D−5 2 ] ) can be extended to the case of Einstein–Maxwell-dilaton (EMd) theory. This framework can describe black holes with spherical horizon topology, the simplest solutions corresponding to a class of electrically charged (dilatonic) Myers–Perry black holes. Balanced charged black objects with Sn+1 × S2k+1 horizon topology can also be studied (with D = 2k + n + 4). Black rings correspond to the case k = 0, while the solutions with k > 0 are black ringoids. The basic properties of EMd solutions are discussed for the special case of a Kaluza–Klein value of the dilaton coupling constant. We argue that all features of these solutions can be derived from those of the vacuum seed configurations.