The clash between de Sitter and anti-de Sitter space

Details The clash between de Sitter and anti-de Sitter space The clash between de Sitter and anti-de Sitter space

2002-09-27

arxiv.org/abs/hep-th/0209248v2

JCAP 0306 (2003) 003

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 4 figures, citations added, typos corrected

Scientific paper

10.1088/1475-7516/2003/06/003

We investigate solutions that are dynamically evolving between asymptotically de Sitter and asymptotically anti-de Sitter regions in the context of Einstein gravity coupled to general matter fields in d dimensions. We demonstrate the existence of a no go theorem whenever the matter content of the theory is 'reasonable', i.e. such that the weak energy condition is satisfied. We show that there exist solutions for which the energy conditions are violated in a finite region of the spacetime. We speculate on the holographic interpretation of these gravitational backgrounds by combining ideas from the AdS/CFT and the dS/CFT dualities.

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