Logarithmic correction to the Brane equation in Topological Reissner-Nordstr\"om de Sitter Space

TL;DR

This paper investigates how logarithmic entropy corrections modify the Friedmann equation and entropy bounds in braneworld cosmology with a charged black hole in de Sitter space, revealing significant quantum effects.

Contribution

It introduces the leading order logarithmic corrections to the Friedmann equation and entropy bounds in the context of topological Reissner-Nordström de Sitter braneworld cosmology.

Findings

Logarithmic corrections alter the standard Friedmann equation.

Entropy bounds are modified by logarithmic terms.

Quantum effects impact holographic cosmological models.

Abstract

In this paper we study braneworld cosmology when the bulk space is a charged black hole in de Sitter space (Topological Reissner-Nordstr\"om de Sitter Space) in general dimension, then we compute leading order correction to the Friedmann equation that arise from logarithmic corrections to the entropy in the holographic-branworld cosmological framwork. Finally we consider the holographic entropy bounds in this senario, we show the entropy bounds are also modified by logarithmic term.