Simple generalizations of anti-de Sitter spacetime

Joo Magueijo (1) , Ali Mozaffari (1)

1 Theoretical Physics

We consider new cosmological solutions which generalize the cosmological patch of the Anti-de Sitter (AdS) space-time, allowing for fluids with equations of state such that w = −1. We use them to derive the associated full manifolds. We find that these solutions can all be embedded in flat five-dimensional space-time with − − + + + signature, revealing deformed hyperboloids. The topology and causal-structure of these spaces is 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.

Mots clés: Physical Sciences

Joo Magueijo, Ali Mozaffari. Simple generalizations of anti-de Sitter spacetime. Classical and Quantum Gravity, 2010, 27 (13), pp.135004. ⟨10.1088/0264-9381/27/13/135004⟩. ⟨hal-00629998⟩