Rotating black holes in Einstein-Maxwell-dilaton gravity

Abstract

We present a new class of slowly rotating black hole solutions in $(n+1)$-dimensional $(n\ensuremath{\ge}3)$ Einstein-Maxwell-dilaton gravity in the presence of Liouville-type potential for the dilaton field and an arbitrary value of the dilaton coupling constant. Because of the presence of the dilaton field, the asymptotic behavior of these solutions are neither flat nor (A)dS. In the absence of a dilaton field, our solution reduces to the $(n+1)$-dimensional Kerr-Newman modification thereof for small rotation parameter [A. N. Aliev, Phys. Rev. D 74, 024011 (2006).]. We also compute the angular momentum and the gyromagnetic ratio of these rotating dilaton black holes.