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dS/CFT at uniform energy density and a de Sitter "bluewall"

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arxiv 1312.1625 v2 pith:4ORBE4X6 submitted 2013-12-05 hep-th gr-qc

classification hep-thgr-qc
keywords sitterdensityarguebluewallcauchyenergy-momentumhorizonsparameter
verification ladder T0 review T1 audit T2 compute T3 formal
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We describe a class of spacetimes that are asymptotically de Sitter in the Poincare slicing. Assuming that a dS/CFT correspondence exists, we argue that these are gravity duals to a CFT on a circle leading to uniform energy-momentum density, and are equivalent to an analytic continuation of the Euclidean AdS black brane. These are solutions with a complex parameter which then gives a real energy-momentum density. We also discuss a related solution with the parameter continued to a real number, which we refer to as a de Sitter "bluewall". This spacetime has two asymptotic de Sitter universes and Cauchy horizons cloaking timelike singularities. We argue that the Cauchy horizons give rise to a blue-shift instability.

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