Deformed hyperbolic black holes

Black holes with planar or hyperbolic horizons are known to exist in anti-de Sitter (AdS) space, alongside the usual ones with spherical horizons. In this paper, we consider a one-parameter generalization of these black holes that is contained in the AdS C-metric. In terms of the domain-structure analysis recently developed for such solutions, these black holes have a domain in the shape of a triangle. It is shown that the horizons of these black holes are deformed hyperbolic spaces, with the new parameter controlling the amount of deformation. The space-times are static and completely regular outside the horizons. We argue that these black holes are hyperbolic analogues of the ``slowly accelerating'' spherical black holes known to exist in AdS space.