Gauge Theory Duals of Cosmological Backgrounds and their Energy Momentum Tensors
arXiv:0711.2994 · doi:10.1103/PhysRevD.77.046008
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 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 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.
arXiv comment17 pages, LaTeX, v2: minor modifications
References in corpus (22)
- A Stress Tensor for Anti-de Sitter Gravity
- The Holographic Weyl anomaly
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Surface Terms as Counterterms in the AdS/CFT Correspondence
- D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
- Asymptotically Anti-de Sitter spacetimes and their stress energy tensor
- Diffeomorphisms and Holographic Anomalies
- Towards a Big Crunch Dual
- Holographic Description of AdS Cosmologies
- Time Dependent Cosmologies and Their Duals
- Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
- Holographic Stress Tensors for Kerr-AdS Black Holes
- Time-dependent AdS/CFT Duality and Null Singularity
- Finite Action in d5 Gauged Supergravity and Dilatonic Conformal Anomaly for Dual Quantum Field Theory
- Cosmologies with Null Singularities and their Gauge Theory Duals
- Time-dependent Solutions with Null Killing Spinor in M-theory and Superstrings
- Holographic Renormalization Group
- Time-dependent AdS/CFT Duality II: Holographic Reconstruction of Bulk Metric and Possible Resolution of Singularity
- Cosmological anti-deSitter space-times and time-dependent AdS/CFT correspondence
- Supersymmteric Null-like Holographic Cosmologies
- One-Loop Effect of Null-Like Cosmology's Holographic Dual Super-Yang-Mills
- Fundamental branes and shock waves
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- On aspects of 2-dim dilaton gravity, dimensional reduction and holography
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- Holographic Signatures of Resolved Cosmological Singularities II: Numerical Investigations
- Time-Dependent AdS Backgrounds from S-Branes
- Gravitational thermodynamics and universal holographic duality in dynamical spacetimes
- Following the density perturbations through a bounce with AdS/CFT Correspondence
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