The Cardy-Verlinde formula and entropy of Topological Kerr-Newman black holes in de Sitter spaces

TL;DR

This paper demonstrates that the entropies of cosmological and black hole horizons in 4D Topological Kerr-Newman-de Sitter spaces can be described by the Cardy-Verlinde formula, linking de Sitter space thermodynamics to conformal field theory.

Contribution

It extends the applicability of the Cardy-Verlinde formula to de Sitter spaces and black holes, using Abbott-Deser conserved charges, suggesting a possible dS/CFT correspondence.

Findings

Cosmological horizon entropy matches Cardy-Verlinde formula

Black hole horizon entropy can be expressed via Cardy-Verlinde formula

Supports the idea of a dS/CFT correspondence

Abstract

In this paper we show that the entropy of cosmological horizon in 4-dimensional Topological Kerr-Newman-de Sitter spaces can be described by the Cardy-Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy-Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. Such result presume a well-defined dS/CFT correspondence, which has not yet attained the credibility of its AdS analogue.