Simple generalizations of Anti-de Sitter space-time

Details Simple generalizations of Anti-de Sitter space-time Simple generalizations of Anti-de Sitter space-time

2009-11-19

arxiv.org/abs/0911.3697v3

Class.Quant.Grav.27:135004,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 Pages, 5 Figures, Corrections and additions made for publication in Journal of Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/27/13/135004

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 $w\neq -1$. 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.

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