A Holographic Interpretation of Asymptotically de Sitter Spacetimes

TL;DR

This paper explores a holographic interpretation of asymptotically de Sitter spacetimes by deriving generalized Cardy entropy formulas, extending ideas from AdS/CFT correspondence to de Sitter backgrounds, and analyzing various black hole solutions.

Contribution

It introduces generalized Cardy entropy formulas for asymptotically de Sitter spacetimes, providing new insights into the dS/CFT correspondence and black hole thermodynamics.

Findings

Derived generalized Cardy entropy formulas for de Sitter black holes

Analyzed implications of these formulas in the context of dS/CFT correspondence

Extended holographic ideas to asymptotically de Sitter backgrounds

Abstract

One of the remarkable outcomes of the AdS/CFT correspondence has been the generalization of Cardy's entropy formula for arbitrary dimensionality, as well as a variety of anti-de Sitter scenarios. More recently, related work has been done in the realm of asymptotically de Sitter backgrounds. Such studies presume a well-defined dS/CFT duality, which has not yet attained the credibility of its AdS analogue. In this paper, we derive and interpret generalized forms of the Cardy entropy for a selection of asymptotically de Sitter spacetimes. These include the Schwarzschild-de Sitter black hole (as a review of hep-th/0112093), the Reissner-Nordstrom-de Sitter black hole and a special class of topological de Sitter solutions. Each of these cases is found to have interesting implications in the context of the proposed correspondence.