Logarithmic correction to the Cardy-Verlinde formula in Topological Reissner-Nordstr\"om de Sitter Space

TL;DR

This paper calculates the leading order correction to the Cardy-Verlinde entropy formula for a topological Reissner-Nordström de Sitter black hole, accounting for small statistical fluctuations around equilibrium.

Contribution

It introduces a logarithmic correction to the Cardy-Verlinde formula specifically for topological Reissner-Nordström de Sitter black holes, extending the understanding of entropy in such spacetimes.

Findings

Derived the correction term due to statistical fluctuations

Modified the entropy formula for the specific black hole solution

Enhanced the theoretical framework connecting black hole thermodynamics and conformal field theory

Abstract

In this paper we compute leading order correction due to small statistical fluctuations around equilibrium, to the Cardy-Verlinde entropy formula (which is supposed to be an entropy formula of conformal field theory in any dimension) of a Topological Reissner-Nordstrom black hole in de Sitter space.