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

Abstract

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 S n+1 × S 2k+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.

Slowly rotating Einstein–Maxwell-dilaton black hole and some aspects of its thermodynamics

“…This model has attracted considerable attention for latter two decades, namely different types of black holes/strings solutions were investigated [16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35]. We point out that in bigger part of those works static solutions were studied, whereas the rotating solutions were examined for some particular choice of dilaton coupling parameter [36,37,38,39,40,41,42,43,44]. It should be noted that the special interest has been paid to the investigation of Einstein-dilaton black holes with additional dilaton potential of a so called Liouville-type form [21,22,24,27,29,45,46,47,48,48,49,50,51].…”