Higher Dimensional Charged Rotating Dilaton Black Holes

Abstract

In this paper, we present the metric for the $n$-dimensional charged slowly rotating dilaton black hole with $N=[(n-1)/2]$ independent rotation parameters, associated with $N$ orthogonal planes of rotation in the background of asymptotically flat and asymptotically (anti)-de Sitter spacetime. The mass, angular momentum and the gyromagnetic ratio of such a black hole are determined for the arbitrary values of the dilaton coupling constant. We find that the gyromagnetic ratio crucially depends on the dilaton coupling constant, $\alpha$, and decreases with increasing $\alpha$ in any dimension.

15 pages, 1 figure

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• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• New class of exact solutions to Einstein-Maxwell-dilaton theory on four-dimensional Bianchi type IX geometry
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• Trajectories of photons around a rotating black hole with unusual asymptotics
• Dynamics of domain wall in charged AdS dilaton black hole spacetime
• Constructing higher dimensional exact black holes in Einstein-Maxwell-scalar-theory