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The C-metric is one of few known exact solutions of Einstein's fieldequations which describes the gravitational field of moving sources. For avanishing or positive cosmological constant, the C-metric represents twoaccelerated black holes in asymptotically flat or de Sitter spacetime. For anegative cosmological constant the structure of the spacetime is morecomplicated. Depending on the value of the acceleration, it can represent oneblack hole or a sequence of pairs of accelerated black holes in the spacetimewith an anti-de Sitter-like infinity. The global structure of this spacetime isanalyzed and compared with an empty anti-de Sitter universe. It is illustratedby 3D conformal-like diagrams.

Accelerated black holes in an anti-de Sitter universe