Randall-Sundrum vs. Holographic Braneworld

TL;DR

This paper constructs an explicit mapping between Randall-Sundrum and holographic braneworld cosmologies, linking their modified Friedmann equations and Hubble rates to deepen understanding of their theoretical relationship.

Contribution

It provides the first explicit correspondence between two prominent braneworld models, clarifying their mathematical and physical connections.

Findings

Established a direct relationship between the Hubble rates of the two models

Mapped the modified Friedmann equations across the models

Enhanced understanding of braneworld cosmology connections

Abstract

A mapping between two braneworld cosmologies -- Randall-Sundrum and holographic -- is explicitly constructed. The cosmologies are governed by the appropriate modified Friedman equations. A relationship between the corresponding Hubble rates is established.