Abstract
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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Das, D., Das, S.R. & Narayan, K. dS/CFT at uniform energy density and a de Sitter “bluewall”. J. High Energ. Phys. 2014, 116 (2014). https://doi.org/10.1007/JHEP04(2014)116
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DOI: https://doi.org/10.1007/JHEP04(2014)116