Time-dependent spacetimes in AdS/CFT: Bubble and black hole

Details Time-dependent spacetimes in AdS/CFT: Bubble and black hole Time-dependent spacetimes in AdS/CFT: Bubble and black hole

2004-11-12

arxiv.org/abs/hep-th/0411128v2

JHEP0502:021,2005

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 3 figures; reference added

Scientific paper

10.1088/1126-6708/2005/02/021

We extend the study of time-dependent backgrounds in the AdS/CFT correspondence by examining the relation between bulk and boundary for the smooth 'bubble of nothing' solution and for the locally AdS black hole which has the same asymptotic geometry. These solutions are asymptotically locally AdS, with a conformal boundary conformal to de Sitter space cross a circle. We study the cosmological horizons and relate their thermodynamics in the bulk and boundary. We consider the alpha-vacuum ambiguity associated with the de Sitter space, and find that only the Euclidean vacuum is well-defined on the black hole solution. We argue that this selects the Euclidean vacuum as the preferred state in the dual strongly coupled CFT.

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