Simple generalizations of anti-de Sitter spacetime

We consider new cosmological solutions which generalize the cosmological patch of the anti-de Sitter (AdS) spacetime, allowing for fluids with equations of state such that w not equal -1. We use them to derive the associated full manifolds. We find that these solutions can all be embedded in flat five-dimensional spacetime with - - + + + signature, revealing deformed hyperboloids. The topology and some aspects of the causal structure of these spaces are therefore unchanged, and closed time-like curves are identified, before a covering space is considered. However the structure of Killing vector fields is entirely different and so we may expect a different structure of Killing horizons in these solutions.