Simple generalizations of Anti-de Sitter space-time

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 $w\ne -1$. 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.

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

References in corpus (4)

• Large N Field Theories, String Theory and Gravity
• Phantom Energy and Cosmic Doomsday
• Can dark energy evolve to the Phantom?
• Universal properties of the near-horizon optical geometry

Cited by in corpus (1)

• Time Delay in $\kappa$-Anti-de Sitter Spacetime