Non-asymptotically flat, non-AdS dilaton black holes

Abstract

We show that previously known non-asymptotically flat static black hole solutions of Einstein-Maxwell-dilaton theory may be obtained as near-horizon limits of asymptotically flat black holes. Specializing to the case of the dilaton coupling constant ${\ensuremath{\alpha}}^{2}=3$, we generate from the non-asymptotically flat magnetostatic or electrostatic black holes two classes of rotating dyonic black hole solutions. The rotating dyonic black holes of the magnetic class are dimensional reductions of the five-dimensional Myers-Perry black holes relative to one of the azimuthal angles, while those of the electric class are twisted dimensional reductions of rotating dyonic Rasheed black strings. We compute the quasilocal mass and angular momentum of our rotating dyonic black holes and show that they satisfy the first law of black hole thermodynamics, as well as a generalized Smarr formula. We also discuss the construction of non-asymptotically flat multi-extreme black hole configurations.