Gauge Theory Duals of Cosmological Backgrounds and their Energy Momentum Tensors

Abstract

We revisit Type IIB supergravity backgrounds with null and spacelike singularities with natural gauge theory duals proposed in {\tt hep-th/0602107} and {\tt hep-th/0610053}. We show that for these backgrounds there are always choices of the boundaries of these deformed $Ad{S}_5\times S^5$ space-times, such that the dual gauge theories live on {\it flat} metrics and have space-time dependent couplings. We present a new time dependent solution of this kind where the effective string coupling is always bounded and vanishes at a spacelike singularity in the bulk, and the space-time becomes $Ad{S}_5\times S^5$ at early and late times. The holographic energy momentum tensor calculated with a choice of flat boundary is shown to vanish for null backgrounds and to be generically non-zero for time dependent backgrounds.

17 pages, LaTeX, v2: minor modifications

References in corpus (4)

• Time Dependent Cosmologies and Their Duals
• Cosmologies with Null Singularities and their Gauge Theory Duals
• Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity
• Supersymmteric Null-like Holographic Cosmologies

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