Dynamic dS/CFT correspondence using the brane cosmology

TL;DR

This paper investigates the dynamic dS/CFT correspondence within brane cosmology by analyzing embeddings of moving domain walls in Schwarzschild-de Sitter and topological-de Sitter spacetimes, highlighting the suitability of each for static and dynamic cases.

Contribution

It introduces a framework for studying dynamic dS/CFT correspondence using moving branes in different de Sitter bulk spacetimes, comparing their effectiveness.

Findings

TdS better describes static dS/CFT correspondence

SdS provides a better scenario for dynamic dS/CFT

No suitable cosmological scenario found from SdS black hole

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.