Charged, rotating black objects in Einstein-Maxwell-dilaton theory in $D\ge 5$

Abstract

We show that the general framework proposed in arXiv:1410.0581 for the study of asymptotically flat vacuum black objects with $k+1$ equal magnitude angular momenta in $D\ge 5$ spacetime dimensions (with $0\le k\le \left[\frac{D-5}{2}\right]$) 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 $S^{n+1}\times S^{2k+1}$ 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.

16 pages, 7 figures; invited paper for the "Entropy" special issue "Black Hole Thermodynamics II", editor David Kubiznak

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Cited by in corpus (1)

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