Dynamic dS/CFT correspondence using the brane cosmology

Abstract

We explore the dynamic dS/CFT correspondence using the moving domain wall(brane) approach in the brane cosmology. The bulk spacetimes are given by the Schwarzschild-de Sitter (SdS) black hole and the topological-de Sitter (TdS) solutions. We consider the embeddings of (Euclidean) moving domain walls into the (Euclidean) de Sitter spaces. The TdS solution is better to describe the static dS/CFT correspondence than the SdS black hole, while in the dynamic dS/CFT correspondence the SdS solution provides situation better than that of the TdS solution. However, we do not find a desirable cosmological scenario from the SdS black hole space.

13 pages, revised version including the new interpretation for energy terms in the Friedmann equation of the Euclidean space approach to appear in PLB

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Cited by in corpus (13)

• Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
• Vacuum States and the S-Matrix in dS/CFT
• Holography in a Radiation-dominated Universe with a Positive Cosmological Constant
• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• A Note on the Cardy-Verlinde Formula
• dS-Holographic C-Functions with a Topological, Dilatonic Twist
• Entropy Bounds in $R\times S^3$ Geometries
• Absorption cross section in de Sitter space
• Bouncing and cyclic universes in the charged AdS bulk background
• Stringy Instability of Topologically Non-Trivial Ads Black Holes and of desitter S-Brane Spacetimes
• Logarithmic corrections to the Bekenstein_Hawking entropy for five-dimensional black holes and de Sitter spaces
• Relationship between five-dimensional black holes and de Sitter spaces
• Casimir energy-momentum tensor for a quantized bulk scalar field in the geometry of two curved branes on Friedmann-Robertson-Walker background