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arXiv · 0911.3697

Simple generalizations of Anti-de Sitter space-time

Joao Magueijo·Ali Mozaffari
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Abstract

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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Joao Magueijo, Ali Mozaffari. 2010-03-25. Simple generalizations of Anti-de Sitter space-time. https://doi.org/10.1088/0264-9381%2F27%2F13%2F135004

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