A short tale from de Sitter space

Physics

Scientific paper

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Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Conformal Field Theory, Algebraic Structures

Scientific paper

In the context of Einstein gravity coupled to matter in d dimensions, we investigate solutions that are dynamically evolving between de Sitter and anti-de Sitter regions. We demonstrate the existence of a no go theorem when the matter content of the theory is `reasonable', i.e., such that the weak energy condition holds. We find solutions when 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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