Charged rotating black holes in higher-dimensional (A)dS gravity

We present numerical evidences for the existence of rotating black holes in d-dimensional Einstein-Maxwell theory with a cosmological constant and for an odd number of dimensions. The metric used possesses (d+1)/2 Killing vectors and the black holes have (d-1)/2 equal angular momenta. The Schwarzschild-like coordinate system used clearly reveals the influence of the electromagnetic field on the vacuum black holes where analytic expressions are available. The domain of existence of the charged rotating black holes is then characterized for both signs of the cosmological constant. The generic solutions are specified by their event horizon and by two additional parameters: the magnetic field and the angular velocity at the horizon. The dependence of several physical quantities-surface gravity, mass, angular momentum, etc.-is studied as a function of these parameters; Smarr-like relations are derived.